A formalism for equivariant Schubert calculus
2009 (English)In: Algebra and Number Theory, ISSN 1937-0652, Vol. 3, no 6, 711-727 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2009. Vol. 3, no 6, 711-727 p.
equivariqant cohomology, Schubert calculus, quantum cohomology, symmetric polynomials, exterior products, Pieri's formula, Giambelli's formula, GKM condition, factorial Schur functions, grassmannians
IdentifiersURN: urn:nbn:se:kth:diva-32338DOI: 10.2140/ant.2009.3.711ISI: 000276358500005ScopusID: 2-s2.0-77953977704OAI: oai:DiVA.org:kth-32338DiVA: diva2:410247
QC 201104132011-04-132011-04-122011-04-13Bibliographically approved