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Mar
9 |
awarded | Popular Question |
Jul
2 |
awarded | Curious |
Dec
31 |
awarded | Popular Question |
Apr
8 |
comment |
Extending a vector bundle to a torsion free sheaf
Ok, I found it. Even if the pair (X,Y) does not satisfy Leff, is there a way to understand when E on Y extends to a bundle on the formal completion? Some kind of obstruction perhaps to extending to various infinitesimal thickenings of Y... |
Apr
8 |
comment |
Extending a vector bundle to a torsion free sheaf
What is Leff(X,Y)? |
Oct
11 |
awarded | Yearling |
Sep
20 |
accepted | Extending a vector bundle to a torsion free sheaf |
Sep
20 |
asked | Extending a vector bundle to a torsion free sheaf |
Aug
22 |
awarded | Nice Question |
Jan
13 |
asked | Kahler differentials and the m-adic filtration |
Oct
17 |
comment |
Frobenius manifold formulation of Fourier-Mukai duality
Technical question: Is there an argument somewhere that the Hochschild cochain complex of the DG enhancement of the derived category of coherent sheaves has the same homotopy type as a homotopy Gerstenhaber algebra to the algebra of Dolbeault polyvector fields? |
Oct
11 |
awarded | Yearling |
Aug
31 |
comment |
Regarding the Gerstenhaber bracket on Hochschild cohomology and Morita equivalence
The paper in A. Bergman's comment contains the answer to my question. Indeed, the Hochschild cochain complex of a small dg category has a B-infinity structure, which is a structure that lies between the structure of a Gerstenhaber algebra and a strong homotopy Gerstenhaber algebra. According to Keller's paper, if two small dg-categories are Morita equivalent, then their Hochschild cochain complexes are isomorphic in the homotopy category of B-infinity algebras. This implies that their Hochschild cohomologies are isomorphic as Gerstenhaber algebras. |
Apr
6 |
awarded | Nice Question |
Apr
6 |
accepted | Are G_infinity algebras B_infinity? Vice versa? |
Apr
6 |
revised |
Are G_infinity algebras B_infinity? Vice versa?
Added a bit of background and some definitions |
Apr
6 |
asked | Are G_infinity algebras B_infinity? Vice versa? |
Feb
22 |
comment |
Localization of vanishing cycles
I think you can fix the jsMath rendering problems in your post by escaping the problematic math with backticks. See the box at the bottom of the "Related" list to the right. |
Feb
10 |
accepted | Is there a refinement of the Hochschild-Kostant-Rosenberg theorem for cohomology? |
Feb
10 |
revised |
Regarding the Gerstenhaber bracket on Hochschild cohomology and Morita equivalence
Put in escapes to fix formatting problems |