Special cycles in independence complexes and superfrustration in some lattices
classification
🧮 math.CO
math.AT
keywords
complexesindependencesomebetticorrespondscyclesexponentialfermions
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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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