TY - JOUR

T1 - Factorial P- and Q-schur functions represent equivariant quantum schubert classes

AU - Ikeda, Takeshi

AU - Mihalcea, Leonardo C.

AU - Naruse, Hiroshi

N1 - Funding Information:
We thank Anders Buch for helpful conversations related to this project. T.I. was partially supported by Grant-in-Aid for Scientific Research (C) 20540053 and 24540032; L.M. is partially supported by an NSA Young Investigator Grant H98230-13-1-0208; H.N. is partially supported by Grant-in-Aid for Scientific Research (C) 25400041
Publisher Copyright:
© 2016, Osaka Journal of Mathematics. All Rights Reserved.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2016/7

Y1 - 2016/7

N2 - 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.

AB - 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.

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M3 - Article

AN - SCOPUS:84982938346

VL - 53

SP - 591

EP - 619

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

SN - 0030-6126

IS - 3

ER -