Special cycles in independence complexes and superfrustration in some lattices

Details Special cycles in independence complexes and superfrustration in some lattices Special cycles in independence complexes and superfrustration in some lattices

2011-09-22

arxiv.org/abs/1109.4914v2

Mathematics

Combinatorics

V2: upgraded homotopical statement; minor improvements

Scientific paper

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.

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