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- W2890191514 abstract "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)." @default.
- W2890191514 created "2018-09-27" @default.
- W2890191514 creator A5040268295 @default.
- W2890191514 date "2018-09-11" @default.
- W2890191514 modified "2023-09-27" @default.
- W2890191514 title "Dynamical invariants of mapping torus categories." @default.
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