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Published July 2017 | Accepted Version
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On topological approach to local theory of surfaces in Calabi–Yau threefolds

Gukov, Sergei ORCID icon
Liu, Chiu-Chu Melissa
Sheshmani, Artan
Yau, Shing-Tung
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Abstract

We study the web of dualities relating various enumerative invariants, notably Gromov–Witten invariants and invariants that arise in topological gauge theory. In particular, we study Donaldson–Thomas gauge theory and its reductions to D=4D=4 and D=2D=2 which are relevant to the local theory of surfaces in Calabi–Yau threefolds.

Additional Information

© 2018 International Press of Boston. Special Issue: Proceedings of the Strings 2016 Conference in Beijing Guest Editors: J. Maldacena (Institute for Advanced Study), H. Ooguri (California Institute of Technology), H. Babak (Harvard University), S. Li (Tsinghua University), W. Song (Tsinghua University), and H. Lin (Tsinghua University) We would like to thank Jun Li, Davesh Maulik, and Richard Thomas for helpful conversations. The work of S. Gukov is supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632 and in part by the ERC Starting Grant no. 335739 "Quantum fields and knot homologies" funded by the European Research Council under the European Union Seventh Framework Programme. The work of C.-C. Liu is partially supported by NSF grants DMS-1206667 and DMS-1159416. A. Sheshmani would like to thank Kavli IPMU, MIT, Harvard and the Institute Henri Poincaré (IHP) for creating the opportunity of initiating the discussions about the current article. The work of A. Sheshmani was partially supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan and Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. No 14.641.31.0001. S.-T. Y. was partially supported by NSF DMS-0804454, NSF PHY-1306313, and Simons 38558. The work of S.-T. Yau is partially supported by NSF grants DMS 1308244, DMS-159412, PHY-1306313, and PHY-0937443.

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