Alexander Braverman
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Apr
26
accepted Euler characteristic - reference question
Apr
26
asked Euler characteristic - reference question
Apr
26
comment Cotangent complex of certain dg-scheme
Thanks, I think you are right, except that one must formulate more carefully what "given by dg generators and relations" means (some smoothness condition should be there).
Apr
22
asked Cotangent complex of certain dg-scheme
Apr
21
revised On push-forward of the constant sheaf for fibrations
added 4 characters in body
Apr
6
comment On push-forward of the constant sheaf for fibrations
Well, unless you work in an algebraic (or, at least, complex analytic) context, properness is not a sensible condition (almost any nice map is homotopy equivalent to a proper one).
Apr
6
answered On push-forward of the constant sheaf for fibrations
Apr
2
comment Moduli space of (all) vector bundles on $\mathbb{P}^1$
No, in the case of $GL(n)$ the connected components are in one-to-one correspondence with integers. More precisely, isomorphism classes of rank $n$ bundles correspond to $n$-tuples $(k_1,\cdots, k_n)$ of integers and the connected component depends only on the sum $k_1+\cdots + k_n$. For example, if you take the connected component of the trivial bundle (i.e. all bundles when the sum of the $k_i$'s is 0) then the trivial bundle is open (and dense) there. There can't be a coarse moduli space since every component is a finite-dimensional stack of with an infinite stratification.
Apr
1
revised Moduli space of (all) vector bundles on $\mathbb{P}^1$
added 1 character in body
Apr
1
answered Moduli space of (all) vector bundles on $\mathbb{P}^1$
Feb
27
accepted Cluster algebras and cluster varieties
Feb
27
comment Cluster algebras and cluster varieties
Yes, you are right, I got confused. But David below gave exactly the answer I wanted.
Feb
27
revised Cluster algebras and cluster varieties
added 98 characters in body
Feb
27
asked Cluster algebras and cluster varieties
Feb
8
awarded  Yearling
Nov
16
awarded  Nice Question
Nov
9
awarded  Popular Question
Oct
7
revised Quantum cohomology of line bundles over $\mathbb P^N$
added 2 characters in body
Oct
2
comment Characters of cuspidal representations
Thanks you, I knew it was due to Deligne but for some reason I thought it was unpublished.
Oct
2
accepted Characters of cuspidal representations