The geometry of quasisymmetric coinvariants
Philippe Nadeau, Hunter Spink, Vasu Tewari
TL;DR
This paper develops a geometric framework for quasisymmetric coinvariants, extending Schubert cycle theory and providing a new interpretation of the ring of quasisymmetric coinvariants.
Contribution
It introduces a quasisymmetric analogue of Schubert cycles and offers a geometric interpretation for the ring of quasisymmetric coinvariants.
Findings
Established a geometric interpretation for quasisymmetric coinvariants
Extended Schubert cycle theory to the quasisymmetric setting
Built on previous work on quasisymmetric Schubert polynomials
Abstract
We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials and divided differences. Our constructions result in a natural geometric interpretation for the ring of quasisymmetric coinvariants.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Geometric and Algebraic Topology · Mathematics and Applications