Open Access
Translator Disclaimer
2009 A formalism for equivariant Schubert calculus
Dan Laksov
Algebra Number Theory 3(6): 711-727 (2009). DOI: 10.2140/ant.2009.3.711

Abstract

In previous work we have developed a general formalism for Schubert calculus. Here we show how this theory can be adapted to give a formalism for equivariant Schubert calculus consisting of a basis theorem, a Pieri formula and a Giambelli formula. Our theory specializes to a formalism for equivariant cohomology of grassmannians. We interpret the results in a ring that can be considered as the formal generalized analog of localized equivariant cohomology of infinite grassmannians.

Citation

Download Citation

Dan Laksov. "A formalism for equivariant Schubert calculus." Algebra Number Theory 3 (6) 711 - 727, 2009. https://doi.org/10.2140/ant.2009.3.711

Information

Received: 17 February 2009; Revised: 26 June 2009; Accepted: 6 August 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1186.14057
MathSciNet: MR2579392
Digital Object Identifier: 10.2140/ant.2009.3.711

Subjects:
Primary: 14N15
Secondary: 14M15 , 57R91

Keywords: equivariqant cohomology , exterior products , factorial Schur functions , Giambelli's formula , GKM condition , Grassmannians , Pieri's formula , quantum cohomology , Schubert calculus , symmetric polynomials

Rights: Copyright © 2009 Mathematical Sciences Publishers

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.3 • No. 6 • 2009
MSP
Back to Top