Skip to main content

All Questions

Filter by
Sorted by
Tagged with
5 votes
2 answers
178 views

Quasi-equivalent vs. homotopy equivalent functors in $A_\infty$ categories

Suppose that $\mathcal{A}, \mathcal{B}$ are strictly unital $A_\infty$ categories, and $\mathcal{F}, \mathcal{G}: \mathcal{A} \rightarrow \mathcal{B}$ are (strictly unital) functors. On one hand, we ...
Tom Hockenhull's user avatar
3 votes
1 answer
167 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
1 vote
0 answers
184 views

Structure maps of $\mathcal{A}_\infty$-bimodules

For Fukaya categories there are functors naturally induced by symplectomorphisms. Twisted versions of symplectic homology (fixed point Floer homology), open-closed maps and bimodules can be defined. ...
Shuo Zhang's user avatar
1 vote
0 answers
79 views

Reference request for showing open(resp. closed) string field theory has A-infinity(resp. L-infinity) algebra structure

I've now begun to study about the relationship between open(resp. closed) string field theory and A-infinity(resp. L-infinity) algebra structure. For the A-infinity case, I'd already heard that the ...
ChoMedit's user avatar
  • 285