arXiv Analytics

Sign in

arXiv:math/0506335 [math.CO]AbstractReferencesReviewsResources

Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

Leonardo Constantin Mihalcea

Published 2005-06-16, updated 2005-07-07Version 2

We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the equivariant quantum Schubert classes. To prove this, we use the theory of factorial Schur functions and a characterization of the equivariant quantum cohomology ring.

Comments: 16 pages; changed title from previous version to match with version submitted, added MSC classification numbers
Categories: math.CO, math.AG
Subjects: 05E05, 14N35, 14F43
Related articles: Most relevant | Search more
arXiv:1501.03561 [math.CO] (Published 2015-01-15)
Tokuyama's Identity for Factorial Schur Functions
arXiv:0801.0233 [math.CO] (Published 2007-12-31, updated 2008-03-04)
Products of Factorial Schur Functions
arXiv:2010.15395 [math.CO] (Published 2020-10-29)
An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes

Links

Toolbox