English

The Geometry of Rectangular Multisets

Combinatorics 2026-04-17 v1 Group Theory Geometric Topology

Abstract

This article describes a natural piecewise Euclidean bi-simplicial cell structure for the space of nn-element multisets in a fixed Euclidean rectangle. In particular, we highlight some connections with spaces of complex polynomials and permutahedra.

Keywords

Cite

@article{arxiv.2604.14383,
  title  = {The Geometry of Rectangular Multisets},
  author = {Michael Dougherty and Jon McCammond},
  journal= {arXiv preprint arXiv:2604.14383},
  year   = {2026}
}

Comments

15 pages, 10 figures

R2 v1 2026-07-01T12:11:37.977Z