Special cycles in independence complexes and superfrustration in some lattices
Combinatorics
2012-01-04 v2 Algebraic Topology
Abstract
We prove that the independence complexes of some grids have exponential Betti numbers. This corresponds to the number of ground states in the hard-core model in statistical physics with fermions in the vertices of the grid.
Keywords
Cite
@article{arxiv.1109.4914,
title = {Special cycles in independence complexes and superfrustration in some lattices},
author = {Michal Adamaszek},
journal= {arXiv preprint arXiv:1109.4914},
year = {2012}
}
Comments
V2: upgraded homotopical statement; minor improvements