Deformed Cohomology of Flag Varieties
Algebraic Geometry
2018-07-12 v1 Combinatorics
Abstract
This paper introduces a two-parameter deformation of the cohomology of generalized flag varieties. One special case is the Belkale-Kumar deformation (used to study eigencones of Lie groups). Another picks out intersections of Schubert varieties that behave nicely under projections. Our construction yields a new proof that the Belkale-Kumar product is well-defined. This proof is shorter and more elementary than earlier proofs.
Keywords
Cite
@article{arxiv.1410.8070,
title = {Deformed Cohomology of Flag Varieties},
author = {Oliver Pechenik and Dominic Searles},
journal= {arXiv preprint arXiv:1410.8070},
year = {2018}
}
Comments
6 pages