Chromatic quasisymmetric functions and hessenberg varieties

John Shareshian, Michelle L Galloway

Research output: Chapter in Book/Report/Conference proceedingChapter

13 Citations (Scopus)

Abstract

We discuss three distinct topics of independent interest; one in enumerative combinatorics, one in symmetric function theory, and one in algebraic geometry. The topic in enumerative combinatorics concerns a q-analog of a generalization of the Eulerian polynomials, the one in symmetric function theory deals with a refinement of the chromatic symmetric functions of Stanley, and the one in algebraic geometry deals with Tymoczko’s representation of the symmetric group on the cohomology of the regular semisimple Hessenberg variety of type A. Our purpose is to explore some remarkable connections between these topics.

Original languageEnglish (US)
Title of host publicationConfiguration Spaces
Subtitle of host publicationGeometry, Combinatorics and Topology
PublisherScuola Normale Superiore
Pages433-460
Number of pages28
ISBN (Electronic)9788876424311
ISBN (Print)9788876424304
StatePublished - Jan 1 2012

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Quasi-symmetric Functions
Symmetric Functions
Enumerative Combinatorics
Algebraic Geometry
Q-analogue
Semisimple
Symmetric group
Cohomology
Refinement
Distinct
Polynomial

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Shareshian, J., & Galloway, M. L. (2012). Chromatic quasisymmetric functions and hessenberg varieties. In Configuration Spaces: Geometry, Combinatorics and Topology (pp. 433-460). Scuola Normale Superiore.

Chromatic quasisymmetric functions and hessenberg varieties. / Shareshian, John; Galloway, Michelle L.

Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore, 2012. p. 433-460.

Research output: Chapter in Book/Report/Conference proceedingChapter

Shareshian, J & Galloway, ML 2012, Chromatic quasisymmetric functions and hessenberg varieties. in Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore, pp. 433-460.
Shareshian J, Galloway ML. Chromatic quasisymmetric functions and hessenberg varieties. In Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore. 2012. p. 433-460
Shareshian, John ; Galloway, Michelle L. / Chromatic quasisymmetric functions and hessenberg varieties. Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore, 2012. pp. 433-460
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