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Cobordism Invariants from BPS q-Series

Gukov, Sergei and Park, Sunghyuk and Putrov, Pavel (2021) Cobordism Invariants from BPS q-Series. Annales Henri Poincaré, 22 (12). pp. 4173-4203. ISSN 1424-0637. doi:10.1007/s00023-021-01089-2.

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Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spin^c structures, etc. In a context where the BPS-generating series depends on a choice of Spin^c structure, we show how different limits with respect to the expansion variable q and different ways of summing over Spin^c structures produce different invariants of homology cobordisms out of the BPS q-series.

Item Type:Article
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URLURL TypeDescription ReadCube access Paper
Gukov, Sergei0000-0002-9486-1762
Park, Sunghyuk0000-0002-6132-0871
Putrov, Pavel0000-0002-7207-4688
Additional Information:© 2021 Springer Nature Switzerland AG. Received 16 February 2021; Accepted 15 July 2021; Published 29 July 2021. We are especially grateful to Francesca Ferrari, Ciprian Manolescu, and Yi Ni for their help and insightful comments. It is also a pleasure to thank Rob Kirby and Paul Melvin for stimulating discussions and inspiration at the triple-header birthday conference “Topology in Dimensions 3, 3.5 and 4” in Berkeley (June, 2018). We also thank Cumrun Vafa for encouragement and comments. The work of S.G. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the National Science Foundation under Grant No. NSF DMS 1664227. The research of S.P. is supported by Kwanjeong Educational Foundation.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Kwanjeong Educational FoundationUNSPECIFIED
Issue or Number:12
Record Number:CaltechAUTHORS:20201013-115124820
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Official Citation:Gukov, S., Park, S. & Putrov, P. Cobordism Invariants from BPS q-Series. Ann. Henri Poincaré 22, 4173–4203 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106024
Deposited By: Joy Painter
Deposited On:13 Oct 2020 19:02
Last Modified:16 Nov 2021 22:04

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