The homotopy type of toric arrangements
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 S homotopy equivalent to the arrangement complement ℜ x, 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 of type Ã n appearing in robotics.
|Date of creation:||27 Jul 2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.lem.sssup.it/Email:
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:ssa:lemwps:2010/13. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.