Invertible QFTs and differential Anderson duals
Mayuko Yamashita
TL;DR
This paper introduces a new differential model for Anderson duals of generalized homology theories, extending previous work and providing potential physical interpretations within the context of invertible quantum field theories.
Contribution
It generalizes the differential Anderson dual construction to broader homology theories, incorporating physical insights and extending prior mathematical frameworks.
Findings
Developed a Cheeger-Simons type model for differential Anderson duals
Extended previous constructions to more general homology theories
Provided potential physical interpretations of the mathematical structures
Abstract
This is the proceeding of a talk given at Stringmath 2022. We introduce a Cheeger-Simons type model for the differential extension of Anderson dual to generalized homology theory with physical interpretations. This construction generalizes the construction of the differential Anderson dual to bordism homology theories, given in a previous work of Yonekura and the author.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons