• DOI:10.1007/s00023-021-01089-2
• Corpus ID: 221949684

Cobordism Invariants from BPS q-Series

@article{Gukov2020CobordismIF,
  title={Cobordism Invariants from BPS q-Series},
  author={Sergei Gukov and Sunghyuk Park and Pavel Putrov},
  journal={Annales Henri Poincar{\'e}},
  year={2020},
  volume={22},
  pages={4173 - 4203}
}

• S. Gukov, Sunghyuk Park, P. Putrov
• Published 24 September 2020
• Physics
• Annales Henri Poincaré

Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spinc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {Spin}^c$$\end{document} structures, etc. In a context where the BPS-generating series depends on a choice of Spinc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {Spin}^c$$\end{document} structure, we show how different limits with respect to the expansion variable q and different ways of summing over Spinc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {Spin}^c$$\end{document} structures produce different invariants of homology cobordisms out of the BPS q-series.