1. Cyclic objects from surfaces
- Author
-
Bartulović, Ivan
- Subjects
Mathematics - Geometric Topology ,Mathematics - Quantum Algebra ,2020 Mathematics Subject Classification. 18N50, 57K16 - Abstract
In this paper, we endow the family of closed oriented genus $g$ surfaces, starting with torus, with a structure of a (co)cyclic object in the category of $3$-dimensional cobordisms. As a corollary, any $3$-dimensional TQFT induces a (co)cyclic module, which we compute algebraically for the Reshetikhin-Turaev TQFT., Comment: 48 pages, many figures. Minor changes done. Comments are still welcome!
- Published
- 2023