On a conjectured formula for quiver varieties

Details On a conjectured formula for quiver varieties On a conjectured formula for quiver varieties

1999-09-15

arxiv.org/abs/math/9909089v1

Mathematics

Combinatorics

19 pages, rich supply of figures. This is half of my thesis, "Combinatorics of degeneracy loci"

Scientific paper

In our joint paper with W. Fulton (math.AG/9804041) we prove a formula for the cohomology class of a quiver variety. This formula involves a new class of generalized Littlewood-Richardson coefficients, all of which surprisingly seem to be non-negative. We conjecture that each of these coefficients count the number of sequences of semistandard Young tableaux which satisfy certain conditions. In this paper I give a proof of this conjecture in the special case where the quiver variety can be described by at most four vector bundles. I also prove that the general conjecture follows from a simple combinatorial statement for which substantial computer verification has been obtained.

Affiliated with

Also associated with

No associations

Rating

On a conjectured formula for quiver varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a conjectured formula for quiver varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a conjectured formula for quiver varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712477