Quantum cohomology of Grassmannians modulo symmetries

Simple item page
dc.creatorHengelbrock, Harald
dc.date2002-11-04
dc.date.accessioned2026-07-07T04:52:37Z
dc.date.available2026-07-07T04:52:37Z
dc.descriptionThe quantum cohomology of Grassmannians exhibits two symmetries related to the quantum product, namely a \Bbb {Z}/n action and an involution related to complex conjugation. We construct a new ring by dividing out these symmetries in an ideal theoretic way and analyze its structure, which is shown to control the sum of all coefficients appearing in the product of cohomology classes. We derive a combinatorial formula for the sum of all Littlewood-Richardson coefficients appearing in the expansion of a product of two Schur polynomials.
dc.description11 pages, presented at the 2002 Fall AMS Eastern Section Meeting on ring structures in Schubert calculus,Northeastern University, Boston,October 5-6, 2002
dc.identifierhttps://arxiv.org/abs/math/0211052
dc.identifierhttp://arxiv.org/abs/math/0211052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65531
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14N35, 14N15, 05E10
dc.titleQuantum cohomology of Grassmannians modulo symmetries
dc.typetext

Files

Collections

arXiv