English

On Elser's conjecture and the topology of $U$-nucleus complex

Combinatorics 2023-03-15 v2 Algebraic Topology

Abstract

Dorpalen-Barry et al. proved Elser's conjecture about sign of Elser's number by interpreting them as certain sums of reduced Euler characteristics of an abstract simplicial complex known as UU-nucleus complex. We prove a conjecture posed by them regarding the homology of UU-nucleus complex.

Keywords

Cite

@article{arxiv.2203.12525,
  title  = {On Elser's conjecture and the topology of $U$-nucleus complex},
  author = {Apratim Chakraborty and Anupam Mondal and Sajal Mukherjee and Kuldeep Saha},
  journal= {arXiv preprint arXiv:2203.12525},
  year   = {2023}
}

Comments

8 pages, 8 figures