A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra

Mathieu Guay-Paquet

Type: Preprint

Publication Date: 2016-01-21

Citations: 48

Locations

arXiv (Cornell University) - View

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Works That Cite This (48)

Action	Title	Year	Authors
+ PDF Chat	Chromatic quasisymmetric functions	2016	John Shareshian Michelle L. Wachs
+	Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties	2018	Patrick Brosnan Timothy Y. Chow
+	The cohomology rings of regular semisimple Hessenberg varieties for $h=(h(1),n,\ldots,n)$	2017	Hiraku Abe Tatsuya Horiguchi Mikiya Masuda
+	The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture	2017	Megumi Harada Martha Precup
+	The cohomology rings of regular nilpotent Hessenberg varieties and Schubert polynomials	2018	Tatsuya Horiguchi
+ PDF Chat	Hessenberg varieties of parabolic type	2021	Martha Precup Julianna Tymoczko
+	Upper-triangular linear relations on multiplicities and the Stanley-Stembridge conjecture	2018	Megumi Harada Martha Precup
+ PDF Chat	Spiders and their Kin: An Investigation of Stanley’s Chromatic Symmetric Function for Spiders and Related Graphs	2020	Angèle M. Foley Joshua Kazdan Larissa Kröll Sofía Martínez Alberga Oleksii Melnyk Alexander Tenenbaum
+ PDF Chat	Permutation actions on Quiver Grassmannians for the equioriented cycle via GKM-theory	2023	Martina Lanini Alexander Pütz
+ PDF Chat	Hessenberg varieties, Slodowy slices, and integrable systems	2019	Hiraku Abe Peter Crooks

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	Chromatic quasisymmetric functions and Hessenberg varieties	2012	John Shareshian Michelle L. Wachs
+	Chromatic quasisymmetric functions	2014	John Shareshian Michelle L. Wachs
+	An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson	2005	Julianna Tymoczko
+	Permutation actions on equivariant cohomology	2007	Julianna Tymoczko
+	Unit Interval Orders and the Dot Action on the Cohomology of Regular Semisimple Hessenberg Varieties	2015	Patrick Brosnan Timothy Y. Chow
+	Equivariant cohomology, Koszul duality, and the localization theorem	1997	Mark Goresky Robert Kottwitz Robert MacPherson
+ PDF Chat	Hopf monoids in the category of species	2013	Marcelo Aguiar Swapneel Mahajan
+	The cohomology rings of regular nilpotent Hessenberg varieties in Lie type A	2015	Hiraku Abe Megumi Harada Tatsuya Horiguchi Mikiya Masuda
+	Minimal nilpotent Hessenberg varieties	2015	Hiraku Abe Peter Crooks
+	Power sum expansion of chromatic quasisymmetric functions	2014	Christos A. Athanasiadis