Cohomology of complements of toric arrangements associated with root systems

Author:

Bergvall OlofORCID

Abstract

AbstractWe develop an algorithm for computing the cohomology of complements of toric arrangements. In the case a finite group $$\Gamma $$ Γ is acting on the arrangement, the algorithm determines the cohomology groups as representations of $$\Gamma $$ Γ . As an important application, we determine the cohomology groups of the complements of the toric arrangements associated with root systems of exceptional type as representations of the corresponding Weyl groups.

Funder

University of Gävle

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

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