Morse theory and toric vector bundles

Details Morse theory and toric vector bundles Morse theory and toric vector bundles

2010-10-19

arxiv.org/abs/1010.4071v2

Mathematics

Algebraic Geometry

Scientific paper

Morelli's computation of the K-theory of a toric variety X associates a polyhedrally constructible function on a real vector space to every equivariant vector bundle E on X. The coherent-constructible correspondence lifts Morelli's constructible function to a complex of constructible sheaves kappa(E). We show that certain filtrations of the cohomology of kappa(E) coming from Morse theory coincide with the Klyachko filtrations of the generic stalk of E. We give Morse-theoretic (i.e. microlocal) conditions for a complex of constructible sheaves to correspond to a vector bundle, and to a nef vector bundle.

Affiliated with

Also associated with

No associations

Rating

Morse theory and toric vector bundles 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 Morse theory and toric vector bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morse theory and toric vector bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716812