Published December 2021
| Version Submitted
Journal Article
Open
Cobordism Invariants from BPS q-Series
Creators
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1.
California Institute of Technology
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2.
International Centre for Theoretical Physics
Abstract
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.
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.Attached Files
Submitted - 2009.11874.pdf
Files
2009.11874.pdf
Additional details
Identifiers
- Eprint ID
- 106024
- DOI
- 10.1007/s00023-021-01089-2
- Resolver ID
- CaltechAUTHORS:20201013-115124820
Related works
- Describes
- 10.1007/s00023-021-01089-2 (DOI)
- https://arxiv.org/abs/2009.11874 (URL)
Funding
- Department of Energy (DOE)
- DE-SC0011632
- NSF
- DMS-1664227
- Kwanjeong Educational Foundation
Dates
- Created
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2020-10-13Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Walter Burke Institute for Theoretical Physics , Mathematics Department