Cobordism invariants from BPS q-series
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. Based on a recent work with Pavel Putrov and Sunghyuk Park.
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