Nicholas Proudfoot
|
Registered User
|
|
|
Apr 14 |
comment |
Cohomology of configuration spaces In this paper, Bezrukavnikov cites a paper of Kohno and Oda (1987) in which they prove (among other things) an LCS formula for the Poincare polynomial in question. Assuming that one can compute the ranks of the subquotients in the lower central series of the fundamental group, this completely answers Christin's question. However, Roman points out on page 133 of his paper that there are some incorrect results in the Kohno-Oda paper. Do you know if the Kohno-Oda LCS formula is correct as stated? |
|
Apr 14 |
awarded | ● Commentator |
|
Apr 14 |
comment |
Cohomology of configuration spaces @Dan Peterson: Totaro's paper does not give a formula for the Poincare polynomial. There's a big gap between being able to write down a DGA in terms of generators and relations and actually having a formula for its Poincare polynomial. |
|
Mar 18 |
comment |
Fundamental groups of symplectic leaves Thanks, your reference to Namikawa's paper is very helpful! In fact, finiteness of the algebraic fundamental group is sufficient for the application that I have in mind, so this is perfect. |
|
Feb 26 |
comment |
Are the strata of Nakajima quiver varieties simply-connected? Do they have odd cohomology? Do there exist any examples where the fundamental groups of these strata are infinite? (See also mathoverflow.net/questions/122683/… for the same question.) |
|
Feb 23 |
asked | Fundamental groups of symplectic leaves |
