Topological Frobenius algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866912019215548416 |
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| author | Cieliebak, Kai Oancea, Alexandru |
| author_facet | Cieliebak, Kai Oancea, Alexandru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_02979 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Topological Frobenius algebras Cieliebak, Kai Oancea, Alexandru Symplectic Geometry Algebraic Topology Rings and Algebras 53D40, 55P35, 55P50, 55N45, 57K16, 57R56, 16W50, 46A20, 46M05, 22D05, 22D35 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. |
| title | Topological Frobenius algebras |
| topic | Symplectic Geometry Algebraic Topology Rings and Algebras 53D40, 55P35, 55P50, 55N45, 57K16, 57R56, 16W50, 46A20, 46M05, 22D05, 22D35 |
| url | https://arxiv.org/abs/2209.02979 |