Article ID Journal Published Year Pages File Type
4658876 Topology and its Applications 2013 8 Pages PDF
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
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
Special cycles in independence complexes and superfrustration in some lattices
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