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Results tagged with deformation-theory
Search options questions only
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user 36067
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
3
votes
1
answer
191
views
Koszul algebras deformations
Do we know the maximal class of Koszul algebras for which any deformation is Koszul?
- 3,880
7
votes
2
answers
688
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Alternative to Kontsevich formality
Has anyone considered an alternative approach to Kontsevich formality in which the DGLA of poly-vector fields is deformed to an $L_\infty$-algebra?
Some vocabulary:
DGLA = Differential Graded Lie Alg …
- 3,880
7
votes
0
answers
182
views
Deformation of Noether's first theorem
Noether's first variational theorem establishes a correspondence between symmetries and invariants. I would like to know what has been written on the following question: How do the invariants deform w …
- 3,880
4
votes
0
answers
220
views
What does "control of a deformation problem" mean?
Is the expression "control of a deformation problem' ever defined? There are of course many examples relating a dg-Lie or L-infty algebra to a deformation problem, and the phrase is evocative. Is it e …
- 3,880
6
votes
0
answers
315
views
What is the technical difference between a deformation and a perturbation?
What is the technical difference between a deformation and a perturbation? Do they exist in somewhat different categories?
- 3,880
7
votes
2
answers
379
views
Non-associative deformation quantization
Several physicists consider non-Poisson bivectors but still apply Kontsevich formality in order to get deformation quantization type results: see e.g. Szabos's review An introduction to nonassociative …
- 3,880
6
votes
3
answers
262
views
graded generalization of the Moyal–Weyl product
Has anyone written about the graded generalization of the Moyal–Weyl product/star product, that is, where the original algebra is already graded? Is it just a matter of signs?
- 3,880