TY - JOUR
T1 - THE BETTI NUMBERS OF REGULAR HESSENBERG VARIETIES ARE PALINDROMIC
AU - Precup, Martha
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media, LLC.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - 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 GLn(ℂ). A key component of their argument is that the Betti numbers of regular Hessenberg varieties for GLn(ℂ) are palindromic. In this paper, we extend this result to all complex reductive algebraic groups, proving that the Betti numbers of regular Hessenberg varieties are palindromic.
AB - 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 GLn(ℂ). A key component of their argument is that the Betti numbers of regular Hessenberg varieties for GLn(ℂ) are palindromic. In this paper, we extend this result to all complex reductive algebraic groups, proving that the Betti numbers of regular Hessenberg varieties are palindromic.
UR - https://www.scopus.com/pages/publications/85030842220
U2 - 10.1007/s00031-017-9442-9
DO - 10.1007/s00031-017-9442-9
M3 - Article
AN - SCOPUS:85030842220
SN - 1083-4362
VL - 23
SP - 491
EP - 499
JO - Transformation Groups
JF - Transformation Groups
IS - 2
ER -