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Results tagged with fukaya-category
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user 4707
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].
15
votes
Has anything precise been written about the Fukaya category and Lagrangian skeletons?
A comment re. Jonny's nice answer: there was indeed a time when that was the envisioned strategy of proof. However our present approach does not require the arborealization. Because: now we know tha …
- 8,723
6
votes
Wrapped Fukaya categories of Stein manifolds
By now we understand quite well generators of such categories. The co-core disks for any relative skeleton of the sector associated to the superpotential will do. (The argument for this is geometric …
- 8,723
5
votes
Geometric Langlands: From D-mod to Fukaya
More a comment than an answer:
I think the lagrangian-to-sheaf dictionary is more “immediately applicable” than is commonly supposed. In particular, it’s possible to immediately apply the dictionary …
- 8,723
5
votes
What is Known about the $K$-Theory of Fukaya Categories?
For $X$ Weinstein, it's a result of Oleg Lazarev that the map $H_n(X) \to SH(X)$ factors as
$$H_n(X) \twoheadrightarrow K_0(Fuk(X)) \to HH_\bullet(Fuk(X)) = SH_\bullet(X)$$
Here the map to $K_0(X)$ …
- 8,723