Algebra & Number Theory
- Algebra Number Theory
- Volume 3, Number 6 (2009), 711-727.
A formalism for equivariant Schubert calculus
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.
Algebra Number Theory, Volume 3, Number 6 (2009), 711-727.
Received: 17 February 2009
Revised: 26 June 2009
Accepted: 6 August 2009
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14N15: Classical problems, Schubert calculus
Secondary: 57R91: Equivariant algebraic topology of manifolds 14M15: Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35]
Laksov, Dan. A formalism for equivariant Schubert calculus. Algebra Number Theory 3 (2009), no. 6, 711--727. doi:10.2140/ant.2009.3.711. https://projecteuclid.org/euclid.ant/1513797471