Chern class formulas for quiver varieties

Details Chern class formulas for quiver varieties Chern class formulas for quiver varieties

1998-04-07

arxiv.org/abs/math/9804041v1

Mathematics

Algebraic Geometry

17 pages, 20 figures. The document is available as a .tar.gz file containing one LaTeX2e file and 20 (included) postscript fil

Scientific paper

10.1007/s002220050297

In this paper a formula is proved for the general degeneracy locus associated to an oriented quiver of type A_n. Given a finite sequence of vector bundles with maps between them, these loci are described by putting rank conditions on arbitrary composites of the maps. Our answer is a polynomial in Chern classes of the bundles involved, depending on the given rank conditions. It can be expressed as a linear combination of products of Schur polynomials in the differences of the bundles. The coefficients are interesting generalizations of Littlewood-Richardson numbers. These polynomials specialize to give new formulas for Schubert polynomials.

Affiliated with

Also associated with

No associations

Rating

Chern class formulas 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 Chern class formulas for quiver varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chern class formulas for quiver varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217181