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arxiv: 2603.11291 · v2 · pith:PSUSP34Tnew · submitted 2026-03-11 · ✦ hep-th · math-ph· math.AT· math.MP

The role of p₁-structures in 3-dimensional Chern-Simons theories

Daniel S. Freed , Constantin Teleman This is my paper
classification ✦ hep-th math-phmath.ATmath.MP
keywords theorieschern-simonsfieldcasestructuresbosonicciteclaudia
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Our recent paper~\cite{FST} with Claudia Scheimbauer uses the cobordism hypothesis to construct fully local Chern-Simons theories. Here we expose some physics motivations: Yang-Mills plus Chern-Simons in the bosonic case and the free Majorana-Weyl spinor field in the fermionic case. We also give expositions of tangential structures and invertible field theories, in particular the 'gravitational Chern-Simons theory' used by Witten to obtain topological field theories from the physical theories.

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