The Betti numbers of regular Hessenberg varieties are palindromic
Algebraic Geometry
2016-03-25 v1 Combinatorics
Abstract
Recently Brosnan and Chow have proven a conjecture of Shareshian and Wachs describing a representation of the symmetric group on the cohomology of regular semisimple Hessenberg varieties for . A key component of their argument is that the Betti numbers of regular Hessenberg varieties for are palindromic. In this paper, we extend this result to all reductive algebraic groups, proving that the Betti numbers of regular Hessenberg varieties are palindromic.
Keywords
Cite
@article{arxiv.1603.07662,
title = {The Betti numbers of regular Hessenberg varieties are palindromic},
author = {Martha Precup},
journal= {arXiv preprint arXiv:1603.07662},
year = {2016}
}