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arXiv · 2508.18615

On Atiyah-Segal axioms for Witten-type TQFTs

Wei Gu
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Abstract

In this paper, we propose a new definition of the trace-map bordism within the Atiyah-Segal framework for Witten-type TQFTs constructed from the topological twist of mass-gapped theories. We demonstrate that these Witten-type TQFTs are unitary under this revised definition and conjecture the self-consistency of the modified bordism category.

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Wei Gu. 2025-08-26. On Atiyah-Segal axioms for Witten-type TQFTs. https://arxiv.org/abs/2508.18615

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