CoFrobenius bialgebras, Poincar\'e duality, and graded TQFT
- Resource Type
- Working Paper
- Authors
- Cieliebak, Kai; Oancea, Alexandru
- Source
- Subject
- Mathematics - Symplectic Geometry
Mathematics - Algebraic Topology
Mathematics - Rings and Algebras
53D40, 55P35, 55P50, 55N45, 57K16, 57R56, 16W50
- Language
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 graded 2D open-closed TQFT. These structures arise in Rabinowitz Floer homology and loop space homology, and also in the context of finite dimensional manifolds.
Comment: 45 pages, 9 figures