4 papers
The Geometry of Rectangular Multisets
Michael Dougherty, Jon McCammond
This article describes a natural piecewise Euclidean bi-simplicial cell structure for the space of -element multisets in a fixed Euclidean rectangle. In particular, we highlight…
Extended Weak Order for the Rank 3 Universal Coxeter Group
Grant Barkley, Colin Defant, Patricia Hersh +3
The weak order is a classical poset structure on a Coxeter group; it is a lattice when the group is finite but merely a meet-semilattice when the group is infinite. Motivated by pr…
Continuous Noncrossing Partitions and Weighted Circular Factorizations
Michael Dougherty, Jon McCammond
This article examines noncrossing partitions of the unit circle in the complex plane; we call these continuous noncrossing partitions. More precisely, we focus on the degree- co…
Geometric Combinatorics of Polynomials II: Polynomials and Cell Structures
Michael Dougherty, Jon McCammond
This article introduces a finite piecewise Euclidean cell complex homeomorphic to the space of monic centered complex polynomials of degree whose critical values lie in a fixed…