2010/17 LEM Working Paper Series

The integer cohomology of toric Weyl arrangements

Simona Settepanella
Arrangement of hyperplanes, toric arrangements, CW complexes, Salvetti complex, Weyl groups, integer cohomology

  MSC(2010) Classification
52C35, 32S22, 20F36,17B10

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then the integer cohomology of its complement is torsion free.

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