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arXiv · 2209.02979

Topological Frobenius algebras

Kai Cieliebak·Alexandru Oancea
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Abstract

We define the notions of unital/counital/biunital infinitesimal anti-symmetric bialgebras and coFrobenius bialgebras and discuss their algebraic properties. We also define the notion of a graded 2D open-closed TQFT. These structures arise in Rabinowitz Floer homology, loop space homology, quantum homology, and the homology of finite dimensional manifolds. The underlying vector spaces, which are typically infinite dimensional, belong to a class of topological vector spaces known as Tate vector spaces.

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Kai Cieliebak, Alexandru Oancea. 2022-09-07. Topological Frobenius algebras. https://arxiv.org/abs/2209.02979

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