The homotopy type of toric arrangements

Details The homotopy type of toric arrangements The homotopy type of toric arrangements

2010-09-19

arxiv.org/abs/1009.3622v2

Mathematics

Algebraic Topology

To appear on J. of Pure and Appl. Algebra. 16 pages, 3 pictures

Scientific paper

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 build a CW-complex homotopy equivalent to the arrangement complement, with a combinatorial description similar to that of the well-known Salvetti complex. If the toric arrangement is defined by a Weyl group we also provide an algebraic description, very handy for cohomology computations. In the last part we give a description in terms of tableaux for a toric arrangement appearing in robotics.

Affiliated with

Also associated with

No associations

Rating

The homotopy type of toric arrangements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The homotopy type of toric arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The homotopy type of toric arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408697