The cohomology of abelian Hessenberg varieties and the Stanley–Stembridge conjecture

Author:

Harada Megumi,Precup Martha E.

Publisher

Cellule MathDoc/CEDRAM

Subject

Discrete Mathematics and Combinatorics

Reference30 articles.

1. [1] Abe, Hiraku; Harada, Megumi; Horiguchi, Tatsuya; Masuda, Mikiya The cohomology rings of regular nilpotent Hessenberg Varieties in Lie type A, Int. Math. Res. Not., Volume 2019 (2019) no. 17, pp. 5316-5388

2. [2] Abe, Hiraku; Horiguchi, Tatsuya; Masuda, Mikiya The cohomology rings of regular semisimple Hessenberg varieties for h=(h(1),n,⋯,n), J. Comb., Volume 10 (2019) no. 1, pp. 27-59

3. [3] Brosnan, Patrick; Chow, Timothy Y. Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties, Adv. Math., Volume 329 (2018), pp. 955-1001

4. [4] Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo Representation theory of the symmetric groups, Cambridge Studies in Advanced Mathematics, Volume 121, Cambridge University Press, Cambridge, 2010, xvi+412 pages

5. [5] Cho, Soojin; Huh, JiSun On e-positivity and e-unimodality of chromatic quasisymmetric functions (2017) (https://arxiv.org/abs/1711.07152)

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