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For questions about Fukaya categories (as introduced by Fukaya in 1993) and their structure; consider also related tags such as [floer-homology] or [lagrangian-submanifolds].

13 votes
2 answers
2k views

How to relate equivariant symplectic cohomology, Contact Homology, Cyclic Homology and Strin...

I am trying to understand how all the players in the title relate, but with all the grading shifts,and difficult isomorphisms involved in the subject I am having a hard time being sure that I have the …
Daniel Pomerleano's user avatar
17 votes
2 answers
3k views

Comparison between Hamiltonian Floer cohomology and Lagrangian Floer cohomology of the diagonal

Let X be a compact symplectic manifold with a form $\omega$. And $X \times X$ is equipped with the symplectic form $(\omega,-\omega)$. The diagonal $\Delta:X \mapsto X \times X$ is a Lagrangian subman …
Daniel Pomerleano's user avatar
5 votes
2 answers
1k views

Generator of a Fukaya category with certain properties

There is an algebraic theory that I'm thinking of trying to develop and I wanted to know if it had any real world prevalence --- I'd like to know an example of a generator L of a Fukaya category on a …
Daniel Pomerleano's user avatar