Chromatic quasisymmetric functions and Hessenberg varieties

Details Chromatic quasisymmetric functions and Hessenberg varieties Chromatic quasisymmetric functions and Hessenberg varieties

2011-06-21

arxiv.org/abs/1106.4287v2

Mathematics

Combinatorics

Minor revisions made to the previous version

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Chromatic quasisymmetric functions and Hessenberg varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chromatic quasisymmetric functions and Hessenberg varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chromatic quasisymmetric functions and Hessenberg varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179645