Factorial P- and Q-schur functions represent equivariant quantum schubert classes

Takeshi Ikeda, Leonardo C. Mihalcea, Hiroshi Naruse

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We find presentations by generators and relations for the equivariant quantum cohomology rings of the maximal isotropic Grassmannians of types B, C and D, and we find polynomial representatives for the Schubert classes in these rings. These representatives are given in terms of the same Pfaffian formulas which appear in the theory of factorial P- and Q-Schur functions. After specializing to equivariant cohomology, we interpret the resulting presentations and Pfaffian formulas in terms of Chern classes of tautological bundles.

本文言語English
ページ(範囲)591-619
ページ数29
ジャーナルOsaka Journal of Mathematics
53
3
出版ステータスPublished - 2016 7
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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