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Results tagged with deformation-theory
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user 1306
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
1
vote
Non-associative deformation quantization
I figured out that in full generality this problem has no chance of leading to a different algebraic structure for which the given one is a quasi-classical limit (like it is for associative/Poisson): …
- 16.9k
2
votes
Accepted
Weak associativity
Let me assume that the characteristic of the ground field is different from two. Let me start by replacing your identity by something where the existing symmetries are a bit more apparent. I claim tha …
- 16.9k
2
votes
Is Nijenhuis–Richardson bracket a BV bracket?
There is one silly answer to your question, and you are probably aware of it: if you use as coefficients $S(g)$, the symmetric algebra of $g$, and not just $g$, everything will work wonderfully. Alas …
- 16.9k
9
votes
Accepted
How to define the equivalence of Maurer-Cartan elements in an $L_{\infty}$-algebra?
To add a bit to what Damien says, addressing your question on how to generalise the gauge approach (which is equivalent to the approach outlined by Damien, as proved by several people):
You can view …
- 16.9k
6
votes
Deformation theory and differential graded Lie algebras
Maybe http://arxiv.org/abs/0707.0889 could be of any help? It's general enough - representations of properads cover a huge variety of cases, from algebraic structures to formal differential geometric …
- 16.9k