Positivity of quiver coefficients through Thom polynomials

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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.
12 pages

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Algebraic Geometry, 14N10; 57R45, 05E15

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http://salesiana.dossiersoluciones.com/handle/123456789/69169

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311203
 http://arxiv.org/abs/math/0311203

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arXiv