Dynamical invariants of mapping torus categories

Autor:	Kartal, Yusuf Barış
Rok vydání:	2018
Předmět:	Mathematics - Symplectic Geometry Mathematics - Algebraic Geometry Mathematics - K-Theory and Homology
Druh dokumentu:	Working Paper
Popis:	This paper describes constructions in homological algebra that are part of a strategy whose goal is to understand and classify symplectic mapping tori. More precisely, given a dg category and an auto-equivalence, satisfying certain assumptions, we introduce a category $M_\phi$-called the mapping torus category that describes the wrapped Fukaya category of an open symplectic mapping torus. Then we define a family of bimodules on a natural deformation of $M_\phi$, uniquely characterize it and using this, we distinguish $M_\phi$ from the mapping torus category of the identity. The proof of the equivalence of $M_\phi$ with wrapped Fukaya category is proven in a different paper (arXiv:1907.01156). Comment: Accepted for publication in Advances in Mathematics, 83 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.04046 Zobrazit plný text záznamu View this record from Arxiv