Shellability and homology of $q$-complexes and $q$-matroids
Combinatorics
2021-05-20 v2 Algebraic Topology
Abstract
We consider a -analogue of abstract simplicial complexes, called -complexes, and discuss the notion of shellability for such complexes. It is shown that -complexes formed by independent subspaces of a -matroid are shellable. Further, we explicitly determine the homology of -complexes corresponding to uniform -matroids. We also outline some partial results concerning the determination of homology of arbitrary shellable -complexes..
Cite
@article{arxiv.2102.13102,
title = {Shellability and homology of $q$-complexes and $q$-matroids},
author = {Sudhir R. Ghorpade and Rakhi Pratihar and Tovohery H. Randrianarisoa},
journal= {arXiv preprint arXiv:2102.13102},
year = {2021}
}
Comments
26 pages