Tori detect invertibility of topological field theories
Tori detect invertibility of topological field theories
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DOI：
10.2140/gt.2018.22.2713
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发表时间：
2015-11
影响因子：
2
通讯作者：
Christopher J. Schommer-Pries
中科院分区：
文献类型：
--
作者：
Christopher J. Schommer-Pries
A once-extended d-dimensional topological field theory Z is a symmetric monoidal functor (taking values in a chosen target symmetric monoidal (infty,2)-category) assigning values to (d-2)-manifolds, (d-1)-manifolds, and d-manifolds. We show that if Z is at least once-extended and the value assigned to the (d-1)-torus is invertible, then the entire topological field theory is invertible, that is it factors through the maximal Picard infty-category of the target. Results are obtained in the presence of arbitrary tangential structures.
