Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
Algebraic Geometry
2018-09-12 v3 Combinatorics
Abstract
We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah-Bott-Berline-Vergne formula for Grassmannians. As corollaries, we obtain formulas for integrals over Grassmannians of characteristic classes of the tautological bundles. Moreover, we provide a valid proof of the Martin formula for the classical Grassmannian.
Keywords
Cite
@article{arxiv.1607.04850,
title = {Identities involving (doubly) symmetric polynomials and integrals over Grassmannians},
author = {Dang Tuan Hiep},
journal= {arXiv preprint arXiv:1607.04850},
year = {2018}
}
Comments
11 pages, to appear in Fundamenta Mathematicae