English

A Broken Circuit Model for Chromatic Homology Theories

Combinatorics 2019-12-02 v1

Abstract

Using the tools of algebraic Morse theory, and the thin poset approach to constructing homology theories, we give a categorification of Whitney's broken circuit theorem for the chromatic polynomial, and for Stanley's chromatic symmetric function.

Keywords

Cite

@article{arxiv.1911.13226,
  title  = {A Broken Circuit Model for Chromatic Homology Theories},
  author = {Alex Chandler and Radmila Sazdanovic},
  journal= {arXiv preprint arXiv:1911.13226},
  year   = {2019}
}

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19 pages