Mathematics – Algebraic Topology
Scientific paper
2009-08-24
Mathematics
Algebraic Topology
25 pages
Scientific paper
In this paper we study a new combinatorial invariant of simple polytopes, which comes from toric topology. With each simple n-polytope P with m facets we can associate a moment-angle complex Z_P with a canonical action of the torus T^m. Then s(P) is the maximal dimension of a toric subgroup that acts freely on Z_P. The problem stated by Victor M. Buchstaber is to find a simple combinatorial description of an s-number. We describe the main properties of s(P) and study the properties of simple n-polytopes with n+3 facets. In particular, we find the value of an s-number for such polytopes, a simple formula for their h-polynomials and the bigraded cohomology rings of the corresponding moment-angle complexes
No associations
LandOfFree
Buchstaber Invariant of Simple Polytopes 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 Buchstaber Invariant of Simple Polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Buchstaber Invariant of Simple Polytopes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-698322