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A formalism for equivariant Schubert calculus
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Algebra and Number Theory, ISSN 1937-0652, Vol. 3, no 6, p. 711-727Article in journal (Refereed) Published
Abstract [en]

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, p. 711-727
Keyword [en]
equivariqant cohomology, Schubert calculus, quantum cohomology, symmetric polynomials, exterior products, Pieri's formula, Giambelli's formula, GKM condition, factorial Schur functions, grassmannians
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-32338DOI: 10.2140/ant.2009.3.711ISI: 000276358500005Scopus ID: 2-s2.0-77953977704OAI: oai:DiVA.org:kth-32338DiVA, id: diva2:410247
Note
QC 20110413Available from: 2011-04-13 Created: 2011-04-12 Last updated: 2011-04-13Bibliographically approved

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