Skip to main content

All Questions

Filter by
Sorted by
Tagged with
29 votes
1 answer
4k views

Almost Complex Structure approach to Deformation of Compact Complex Manifolds

I don't know much about the deformation of compact complex manifolds, I've only read chapter 6 of Huybrechts' book Complex Geometry: An Introduction. There are two parts to this chapter. The second ...
Michael Albanese's user avatar
7 votes
3 answers
3k views

Hochschild cohomology and A-infinity deformations

When we are dealing with ordinary things or dg things (where thing = algebra or category), I think I understand how HH^2 corresponds to 1st order deformations and HH^3 corresponds to obstructions. ...
Kevin H. Lin's user avatar
5 votes
0 answers
154 views

One-parameter family of algebra structures: characterizing trivial deformation as adjoint 2-cocycle being a 2-coboundary

$\DeclareMathOperator\C{\mathbf{C}}$Motivation: this post discusses a simple criterion for a 1-parameter family of $n$-dimensional complex algebras to be a "trivial deformation", i.e., be ...
YCor's user avatar
  • 63.9k