A broken circuit model for chromatic homology theories
Sign Up to like & getrecommendations! Published in 2022 at "European Journal of Combinatorics"
DOI: 10.1016/j.ejc.2022.103538
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. read more here.
Keywords: broken circuit; circuit model; model chromatic; homology theories ... See more keywords
HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS
Sign Up to like & getrecommendations! Published in 2019 at "Glasgow Mathematical Journal"
DOI: 10.1017/s001708951900048x
Abstract: Abstract In this paper, we introduce and study the Gorenstein relative homology theory for unbounded complexes of modules over arbitrary associative rings, which is defined using special Gorenstein flat precovers. We compare the Gorenstein relative… read more here.
Keywords: theories complexes; based flats; homology; complexes based ... See more keywords