Minimality of toric arrangements
Copyright policy )Minimality of toric arrangements
We prove that the complement of a toric arrangement has the homotopy type of a minimal CW-complex. As a corollary we deduce that the integer cohomology of these spaces is torsionfree. We apply discrete Morse theory to the toric Salvetti complex, providing a sequence of cellular collapses that leads to a minimal complex.
- University of Fribourg Switzerland
- University of Bremen Germany
Polyhedral manifolds, torsion in cohomology, Combinatorial aspects of simplicial complexes, toric arrangements, Combinatorial aspects of matroids and geometric lattices, Toric arrangements, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), General topology of complexes, 52C35, 32S22, 55U10, 18A30, FOS: Mathematics, info:eu-repo/classification/udc/51, Mathematics - Combinatorics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Combinatorics (math.CO), discrete Morse theory, minimal CW-complexes
Polyhedral manifolds, torsion in cohomology, Combinatorial aspects of simplicial complexes, toric arrangements, Combinatorial aspects of matroids and geometric lattices, Toric arrangements, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), General topology of complexes, 52C35, 32S22, 55U10, 18A30, FOS: Mathematics, info:eu-repo/classification/udc/51, Mathematics - Combinatorics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Combinatorics (math.CO), discrete Morse theory, minimal CW-complexes
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