Cohomology of the toric arrangement associated with A(n)

• We compute the total cohomology of the complement of the toric arrangement associated with the root system An as a representation of the corresponding Weyl group via fixed point theory of a twisted action of the group. We also provide several proofs of an explicit formula for the Poincare polynomial of the complement of the toric arrangement associated with An.

Subject headings

NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)

Keyword

Arrangements

Cohomology

Fixed points

Root systems

Weyl groups

Publication and Content Type

ref (subject category)

art (subject category)