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

中文翻译：

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来自 BPS q 系列的 Cobordism 不变量

许多 BPS 分区函数取决于附加结构的选择：通量、自旋或\(\hbox {Spin}^c\)结构等。在 BPS 生成系列取决于\(\hbox { Spin}^c\)结构，我们展示了关于扩展变量q 的不同限制和对\(\hbox {Spin}^c\)结构求和的不同方式如何从 BPS q 中产生不同的同源协边不变式-系列。