English

Cobordism invariants from BPS q-series

High Energy Physics - Theory 2021-11-24 v1 Strongly Correlated Electrons Algebraic Geometry Geometric Topology Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.2009.11874,
  title  = {Cobordism invariants from BPS q-series},
  author = {Sergei Gukov and Sunghyuk Park and Pavel Putrov},
  journal= {arXiv preprint arXiv:2009.11874},
  year   = {2021}
}

Comments

30 pages, 4 figures

R2 v1 2026-06-23T18:46:37.329Z