对带边流形的对称单向Frohman-Nicas TQFT
A symmetric monoidal Frohman-Nicas TQFT for sutured manifolds
AI总结：
本文提出了一种对称单向Frohman-Nicas TQFT，用于带边流形的三维cobordism，通过重新解释和推广经典理论，并关联到带边版本的Florens-Massuyeau理论。
摘要：
通过分析带边饰Heegaard Floer同调的去范畴化，我们重新解释并推广了经典的Frohman-Nicas TQFT对于Alexander多项式在三维带边cobordism之间带边表面的设定中。在此设定中，Frohman-Nicas TQFT对于任意表面之间的cobordisms的映射，在没有连通性限制的情况下，被解释为一个真正的对称单向函子（在不相交并集下）的一部分，没有半投影零点。我们还把去范畴化的带边饰理论与Spin^c结构与Florens-Massuyeau的G-类比的Frohman-Nicas TQFT的带边版本相关联。
英文摘要：
By analyzing the decategorification of bordered sutured Heegaard Floer homology, we reinterpret and generalize the classical Frohman-Nicas TQFT for the Alexander polynomial in the setting of 3d sutured cobordisms between sutured surfaces. In this setting, the Frohman-Nicas TQFT maps for arbitrary cobordisms between surfaces, with no connectivity restrictions, get interpreted as part of an honest symmetric monoidal functor (under disjoint union) with no half-projectivity zeroes. We also relate the decategorified bordered sutured theory with $\mathrm{Spin}^c$ structures to a sutured version of Florens-Massuyeau's $G$-analogue of the Frohman-Nicas TQFT.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
