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Number of items: 87.

2017

Gukov, Sergei and Pei, Du (2017) Equivariant Verlinde formula from fivebranes and vortices. Communications in Mathematical Physics, 355 (1). pp. 1-50. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20150220-093858198

Gukov, Sergei (2017) Trisecting non-Lagrangian theories. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170720-171152878

Gukov, Sergei and Putrov, Pavel and Vafa, Cumrun (2017) Fivebranes and 3-manifold homology. Journal of High Energy Physics, 2017 (07). Art. No. 071. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160316-162103450

Gukov, Sergei (2017) RG Flows and Bifurcations. Nuclear Physics B, 919 . pp. 583-638. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20161114-105557935

Dedushenko, Mykola and Gukov, Sergei and Putrov, Pavel (2017) Vertex algebras and 4-manifold invariants. . http://resolver.caltech.edu/CaltechAUTHORS:20170518-093106050

Gukov, Sergei and Pei, Du and Putrov, Pavel et al. (2017) BPS spectra and 3-manifold invariants. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170201-100930550

2016

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2016) Fivebranes and 4-Manifolds. In: Arbeitstagung Bonn 2013. Progress in Mathematics. No.319. Springer , New York, NY, pp. 155-245. ISBN 978-3-319-43646-3. http://resolver.caltech.edu/CaltechAUTHORS:20170615-083539862

Andersen, Jørgen Ellegaard and Gukov, Sergei and Pei, Du (2016) The Verlinde formula for Higgs bundles. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160816-123626732

Gukov, Sergei and Marino, Marcos and Putrov, Pavel (2016) Resurgence in complex Chern-Simons theory. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160707-134251692

Gukov, Sergei and Pei, Du and Yan, Wenbin et al. (2016) Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160707-133458529

Chung, Hee-Joong and Dimofte, Tudor and Gukov, Sergei et al. (2016) 3d-3d Correspondence Revisited. Journal of High Energy Physics, 2016 (4). Art. No. 140. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160503-083907514

Gukov, Sergei and Nawata, Satoshi and Saberi, Ingmar et al. (2016) Sequencing BPS Spectra. Journal of High Energy Physics, 2016 (03). Art. No. 004. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160113-131017250

Elliot, Ross and Gukov, Sergei (2016) Exceptional knot homology. Journal of Knot Theory and its Ramifications, 25 (3). Art. No. 1640003. ISSN 0218-2165. http://resolver.caltech.edu/CaltechAUTHORS:20160425-090534476

Gukov, Sergei (2016) Counting RG flows. Journal of High Energy Physics, 2016 (1). Art. No. 020. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20150311-193040484

Frenkel, Edward and Gukov, Sergei and Teschner, Jörg (2016) Surface operators and separation of variables. Journal of High Energy Physics, 2016 (1). Art. No. 179. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160225-125012315

Gukov, Sergei and Saberi, Ingmar (2016) Lectures on Knot Homology and Quantum Curves. In: Physics and Mathematics of Link Homology. Contemporary Mathematics. No.680. American Mathematical Society , Providence, RI, pp. 59-97. ISBN 978-1-4704-1459-7. http://resolver.caltech.edu/CaltechAUTHORS:20160503-081755071

2015

Gukov, Sergei (2015) Surface Operators. In: New Dualities of Supersymmetric Gauge Theories. Springer , Cham, Switzerland, pp. 223-259. ISBN 978-3-319-18768-6. http://resolver.caltech.edu/CaltechAUTHORS:20150114-205456566

Chun, Sungbong and Gukov, Sergei and Roggenkamp, Daniel (2015) Junctions of surface operators and categorification of quantum groups. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20151207-102030601

2014

Gukov, Sergei and Sułkowski, Piotr (2014) A-Polynomial, B-Model, and Quantization. In: Homological Mirror Symmetry and Tropical Geometry. Lecture Notes of the Unione Matematica Italiana. No.15. Springer , Cham, Switzerland, pp. 87-151. ISBN 978-3-319-06513-7. http://resolver.caltech.edu/CaltechAUTHORS:20170706-082515229

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2014) Walls, lines, and spectral dualities in 3d gauge theories. Journal of High Energy Physics, 2014 (5). Art. No. 47. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20140716-113255164

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2014) Exact Solutions of 2d Supersymmetric Gauge Theories. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160503-085246813

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2014) Duality Defects. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160503-090914800

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2014) (0, 2) trialities. Journal of High Energy Physics, 2014 (3). Art. No. 76. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20140516-074913803

Gadde, Abhijit and Gukov, Sergei (2014) 2d index and surface operators. Journal of High Energy Physics, 2014 (3). Art. No. 80. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20140424-092625660

Dimofte, Tudor and Gaiotto, Davide and Gukov, Sergei (2014) Gauge Theories Labelled by Three-Manifolds. Communications in Mathematical Physics, 325 (2). pp. 367-419. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20140210-154717900

2013

Gaiotto, Davide and Gukov, Sergei and Seiberg, Nathan (2013) Surface defects and resolvents. Journal of High Energy Physics, 2013 (9). Art. No. 70. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20131105-071959496

Gukov, Sergei and Kapustin, Anton (2013) Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160503-094901740

Dimofte, Tudor and Gukov, Sergei (2013) Chern-Simons theory and S-duality. Journal of High Energy Physics, 2013 (5). Art. No. 109. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20130913-112827417

Gorsky, Eugene and Gukov, Sergei and Stošić, Marko (2013) Quadruply-graded colored homology of knots. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160503-082624275

Fuji, Hiroyuki and Gukov, Sergei and Sułkowski, Piotr (2013) Super-A-polynomial for knots and BPS states. Nuclear Physics B, 867 (2). pp. 506-546. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20130103-082610853

Fuji, Hiroyuki and Gukov, Sergei and Stošić, Marko et al. (2013) 3d analogs of Argyres-Douglas theories and knot homologies. Journal of High Energy Physics, 2013 (1). Art. No. 175. ISSN 1126-6708 . http://resolver.caltech.edu/CaltechAUTHORS:20130405-104147281

Dimofte, Tudor and Gaiotto, Davide and Gukov, Sergei (2013) 3-Manifolds and 3d indices. Advances in Theoretical and Mathematical Physics, 17 (5). pp. 975-1076. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20140610-081020607

2012

Gukov, Sergei and Sułkowski, Piotr (2012) A-polynomial, B-model, and quantization. Journal of High Energy Physics, 2012 (2). Art. No. 070. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20120511-113608838

Gukov, Sergei and Stošić, Marko (2012) Homological algebra of knots and BPS states. In: String-Math 2011. Proceedings of Symposia in Pure Mathematics. No.85. American Mathematical Society , Providence, RI, pp. 125-171. ISBN 9780821872956. http://resolver.caltech.edu/CaltechAUTHORS:20130212-111358154

Fuji, Hiroyuki and Gukov, Sergei and Sułkowski, Piotr et al. (2012) Volume conjecture: refined and categorified. Advances in Theoretical and Mathematical Physics, 16 (6). pp. 1669-1777. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20130805-101410619

2011

Gukov, Sergei (2011) Quantization via mirror symmetry. Japanese Journal of Mathematics , 6 (2). pp. 65-119. ISSN 0289-2316. http://resolver.caltech.edu/CaltechAUTHORS:20120113-091504097

Dimofte, Tudor and Gukov, Sergei and Hollands, Lotte (2011) Vortex Counting and Lagrangian 3-Manifolds. Letters in Mathematical Physics, 98 (3). pp. 225-287. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20111209-105547167

Dimofte, Tudor and Gukov, Sergei and Soibelman, Yan (2011) Quantum Wall Crossing in N=2 Gauge Theories. Letters in Mathematical Physics, 95 (1). pp. 1-25. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20110316-093514240

Dimofte, Tudor and Gukov, Sergei (2011) Quantum Field Theory and the Volume Conjecture. In: Interactions between hyperbolic geometry, quantum topology, and number theory. Contemporary Mathematics. No.541. American Mathematical Society , Providence, RI, pp. 41-67. ISBN 978-0-8218-4960-6 . http://resolver.caltech.edu/CaltechAUTHORS:20110707-110110717

2010

Gukov, Sergei and Iqbal, Amer and Kozçaz, Can et al. (2010) Link Homologies and the Refined Topological Vertex. Communications in Mathematical Physics, 298 (3). pp. 757-785. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20160505-114729379

Alday, Luis F. and Gaiotto, Davide and Gukov, Sergei et al. (2010) Loop and surface operators in N = 2 gauge theory and Liouville modular geometry. Journal of High Energy Physics, 2010 (1). Art. No. 113. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20100224-150755870

Dimofte, Tudor and Gukov, Sergei (2010) Refined, Motivic, and Quantum. Letters in Mathematical Physics, 91 (1). pp. 1-27. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20100104-122110812

Gukov, Sergei and Witten, Edward (2010) Rigid Surface Operators. Advances in Theoretical and Mathematical Physics, 14 (1). pp. 87-178. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20160504-103840382

2009

Gukov, Sergei and Witten, Edward (2009) Branes and quantization. Advances in Theoretical and Mathematical Physics, 13 (5). pp. 1445-1518. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20101108-100406383

Dimofte, Tudor and Gukov, Sergei and Lenells, Jonatan et al. (2009) Exact Results for Perturbative Chern-Simons Theory with Complex Gauge Group. Communications in Number Theory and Physics, 3 (2). pp. 363-443. ISSN 1931-4523. http://resolver.caltech.edu/CaltechAUTHORS:20100202-111957900

Gukov, Sergei (2009) Surface Operators and Knot Homologies. In: New Trends in Mathematical Physics. Springer Netherlands , Berlin Heidelberg, pp. 313-343. ISBN 978-90-481-2809-9. http://resolver.caltech.edu/CaltechAUTHORS:20160505-120947331

2008

Gukov, Sergei and Murakami, Hitoshi (2008) SL(2,C) Chern–Simons Theory and the Asymptotic Behavior of the Colored Jones Polynomial. Letters in Mathematical Physics, 86 (2-3). pp. 79-98. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20160511-094807499

Gaberdiel, Matthias R. and Gukov, Sergei and Keller, Christoph A. et al. (2008) Extremal N = (2, 2) 2D Conformal Field Theories and Constraints of Modularity. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160505-104651886

2007

Gukov, Sergei and Motl, Luboš and Neitzke, Andrew (2007) Equivalence of twistor prescriptions for super Yang-Mills. Advances in Theoretical and Mathematical Physics, 11 (2). pp. 199-231. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20160511-104623256

2006

Gukov, Sergei and Witten, Edward (2006) Gauge Theory, Ramification, And The Geometric Langlands Program. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160511-095533476

Gukov, Sergei and Saraikin, Kirill and Vafa, Cumrun (2006) Entropic principle and asymptotic freedom. Physical Review D, 73 (6). Art. No. 066010. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:GUKprd06

Gukov, Sergei and Saraikin, Kirill and Vafa, Cumrun (2006) Stringy wave function for an S^3 cosmology. Physical Review D, 73 (6). Art. No. 066009. ISSN 1550-7998 . http://resolver.caltech.edu/CaltechAUTHORS:20160511-085455539

Dunfield, Nathan M. and Gukov, Sergei and Rasmussen, Jacob (2006) The Superpolynomial for Knot Homologies. Experimental Mathematics, 15 (2). pp. 129-159. ISSN 1058-6458. http://resolver.caltech.edu/CaltechAUTHORS:20160511-091653426

2005

Gukov, Sergei and Walcher, Johannes (2005) Matrix Factorizations and Kauffman Homology. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160511-092422859

Gukov, Sergei and Schwarz, Albert and Vafa, Cumrun (2005) Khovanov-Rozansky Homology and Topological Strings. Letters in Mathematical Physics, 74 (1). pp. 53-74. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20160511-085302183

Dijkgraaf, Robbert and Gukov, Sergei and Neitzke, Andrew et al. (2005) Topological M-theory as Unification of Form Theories of Gravity. Advances in Theoretical and Mathematical Physics, 9 (4). pp. 603-665. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20160511-091820774

Gukov, Sergei and Martinec, Emil and Moore, Gregory et al. (2005) Search for a holographic dual to AdS_3 x S^3 x S^3 x S^1. Advances in Theoretical and Mathematical Physics, 9 (3). pp. 435-525. ISSN 1095-0761. http://resolver.caltech.edu/CaltechAUTHORS:20160506-120757475

Gukov, Sergei (2005) Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial. Communications in Mathematical Physics, 255 (3). pp. 577-627. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20160509-071118060

2004

Gukov, Sergei and Kachru, Shamit and Liu, Xiao et al. (2004) Heterotic moduli stabilization with fractional Chern-Simons invariants. Physical Review D, 69 (8). Art. No. 086008. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:GUKprd04

Gukov, Sergei and Martinec, Emil and Moore, Gregory et al. (2004) An Index for 2D field theories with large N=4 superconformal symmetry. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160505-105657599

Gukov, Sergei and Martinec, Emil and Moore, Gregory et al. (2004) Chern-Simons Gauge Theory and the AdS_3/CFT_2 Correspondence. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160506-145809044

Gukov, Sergei and Takayanagi, Tadashi and Toumbas, Nicolaos (2004) Flux backgrounds in 2D string theory. Journal of High Energy Physics, 2004 (3). Art. No. 017. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:GUKjhep04

Acharya, Bobby S. and Gukov, Sergei (2004) M theory and singularities of exceptional holonomy manifolds. Physics Reports, 392 (3). pp. 121-189. ISSN 0370-1573. http://resolver.caltech.edu/CaltechAUTHORS:20160511-110724676

Gukov, Sergei and Vafa, Cumrun (2004) Rational Conformal Field Theories and Complex Multiplication. Communications in Mathematical Physics, 246 (1). pp. 181-210. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20160506-080721343

2003

Dijkgraaf, Robbert and Gukov, Sergei and Kazakov, Vladimir A. et al. (2003) Perturbative analysis of gauged matrix models. Physical Review D, 68 (4). Art. No. 045007. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:DIJprd03

Gukov, Sergei and Sparks, James and Tong, David (2003) Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds. Classical and Quantum Gravity, 20 (4). pp. 665-705. ISSN 0264-9381. http://resolver.caltech.edu/CaltechAUTHORS:GUKcqg03

Gukov, Sergei and Yau, Shing-Tung and Zaslow, Eric (2003) Duality and Fibrations on G_2 Manifolds. Turkish Journal of Mathematics, 27 (1). pp. 61-97. ISSN 1303-6149. http://resolver.caltech.edu/CaltechAUTHORS:20160506-122921323

2002

Gukov, Sergei and Tong, David (2002) D-brane probes of G_2 holonomy manifolds. Physical Review D, 66 (8). Art. No. 087901. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20160505-113949597

Gukov, Sergei and Haack, Michael (2002) IIA string theory on Calabi-Yau fourfolds with background fluxes. Nuclear Physics B, 639 (1-2). pp. 95-128. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160505-083954824

Acharya, Bobby S. and De La Ossa, Xenia and Gukov, Sergei (2002) G-flux, supersymmetry and Spin(7) manifolds. Journal of High Energy Physics, 2002 (9). Art. No. 047. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:ACHjhep02

Gukov, Sergei and Tong, David (2002) D-Brane probes of Special Holonomy Manifolds, and Dynamics of N=1 Three-Dimensional Gauge Theories. Journal of High Energy Physics, 2002 (4). Art. No. 50. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160505-110509143

Gukov, Sergei and Sparks, James (2002) M-theory on Spin(7) manifolds. Nuclear Physics B, 625 (1-2). pp. 3-69. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160506-084420068

2001

Berkovits, Nathan and Gukov, Sergei and Vallilo, Brenno Carlini (2001) Superstrings in 2D backgrounds with R–R flux and new extremal black holes. Nuclear Physics B, 614 (1-2). pp. 195-232. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160506-075145513

Brandhuber, Andreas and Gomis, Jaume and Gubser, Steven S. et al. (2001) Gauge theory at large N and new G_2 holonomy metrics. Nuclear Physics B, 611 (1-3). pp. 179-204. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160506-081903900

Gubser, S. S. and Gukov, S. and Klebanov, I. R. et al. (2001) The Hagedorn transition in noncommutative open string theory. Journal of Mathematical Physics, 42 (7). pp. 2749-2764. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:GUBjmp01

Behrndt, Klaus and Gukov, Sergei and Shmakova, Marina (2001) Domain walls, black holes, and supersymmetric quantum mechanics. Nuclear Physics B, 601 (1-2). pp. 49-76. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160505-151644609

2000

Gates, S. James, Jr. and Gukov, Sergei and Witten, Edward (2000) Two two-dimensional supergravity theories from Calabi–Yau four-folds. Nuclear Physics B, 584 (1-2). pp. 109-148. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160505-142923299

Behrndt, Klaus and Gukov, Sergei (2000) Domain walls and superpotentials from M-theory on Calabi-Yau three-folds. Nuclear Physics B, 580 (1-2). pp. 225-242. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160504-100830938

Gukov, Sergei and Periwal, Vipul (2000) Dbrane phase transitions and monodromy in K-theory. Journal of Geometry and Physics, 34 (3-4). pp. 263-269. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20160513-082826792

Gukov, Sergei (2000) Solitons, superpotentials and calibrations. Nuclear Physics B, 574 (1-2). pp. 169-188. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160511-131311298

Gukov, Sergei (2000) K-Theory, Reality, and Orientifolds. Communications in Mathematical Physics, 210 (3). pp. 621-639. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20160511-110549355

1999

Gukov, Sergei and Kapustin, Anton (1999) New N = 2 superconformal field theories from M/F-theory orbifolds. Nuclear Physics B, 545 (1-3). pp. 283-308. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160513-090539528

1998

Diaconescu, Duiliu-Emanuel and Gukov, Sergei (1998) Three-dimensional N = 2 gauge theories and degenerations of Calabi-Yau four-folds. Nuclear Physics B, 535 (1-2). pp. 171-196. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20160511-111658565

Gukov, Sergei and Rangamani, Mukund and Witten, Edward (1998) Dibaryons, branes, and strings in AdS orbifold models. Journal of High Energy Physics, 1998 (12). Art. No. 025. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:GUKjhep98

Gukov, Sergei (1998) Comments on N = S AdS orbifolds. Physics Letters B, 439 (1-2). pp. 23-28. ISSN 0370-2693. http://resolver.caltech.edu/CaltechAUTHORS:20160513-103122668

1997

Gukov, S. (1997) Supersymmetric spin glass. Journal of Experimental and Theoretical Physics Letters, 65 (8). pp. 694-700. ISSN 0021-3640. http://resolver.caltech.edu/CaltechAUTHORS:20160511-105722161

1996

Gukov, Sergei and Polyubin, Igor (1996) Akin N = 2 SUSY Yang Mills Theories and Instanton Expansion. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160513-101814510

This list was generated on Wed Oct 18 04:36:31 2017 PDT.