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3 votes
1 answer
163 views

Theory of $n$-truncated $A_\infty$ categories/functors?

One can define certain higher categorical truncations. For example, a discussion from the quasi-categories point of view can be found in HTT 5.5.6. On the other hand, as a model of linear $\infty$-...
Bingyu Zhang's user avatar
6 votes
0 answers
225 views

Iterating exact triangles (particularly in Floer homology)

There are several different Floer-homological invariants of 3-manifolds (and knots). The most prominent of these are Heegaard Floer homology, monopole Floer homology, and instanton Floer homology. It ...
John Baldwin's user avatar
3 votes
1 answer
458 views

Help understand a calculation involving RHom of sheaves on manifolds

I am reading a paper and there is some computation of RHom of sheaves that I don't understand. I hope this is the right place to ask. It is this paper, example 3.10 , page 25 arxiv.org/pdf/1005.1517v4....
Yaniv Ganor's user avatar
  • 1,893
5 votes
1 answer
1k views

Is the derived Fukaya category a derived category in the classical sense?

I am trying to read Seidel's book, and I am confused about the "derived" Fukaya category. If I understand properly, one starts from the $A_{\infty}$-category $\mathfrak{F}(M)$, enlarges it to the $A_{\...
A.P.'s user avatar
  • 153