Positivity of quiver coefficients through Thom polynomials

Details Positivity of quiver coefficients through Thom polynomials Positivity of quiver coefficients through Thom polynomials

2003-11-12

arxiv.org/abs/math/0311203v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

Let r be an orbit of the quiver representation of type A_n (equioriented case). In this paper we study the Poincare dual of the closure of r (a.c.a. Thom polynomial/degeneracy loci formula) in equivariant cohomology. Using general Thom polynomial theory we prove the component formula and its stable version of [Knutson-Miller-Shimozono] as well as the positivity of the quiver coefficients of [Buch-Fulton]. We also show how the component formula follows from Grobner degeneration easily. In relation with the K-theory counterpart of the formula we give a new description of KMS factorizations based on transformations of lace diagrams.

Affiliated with

Also associated with

No associations

Rating

Positivity of quiver coefficients through Thom polynomials 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 Positivity of quiver coefficients through Thom polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positivity of quiver coefficients through Thom polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337536