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.

Ämnesord

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

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

Nyckelord

Arrangements

Cohomology

Fixed points

Root systems

Weyl groups

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)