Jump formulas in Hamiltonian Geometry

Details Jump formulas in Hamiltonian Geometry Jump formulas in Hamiltonian Geometry

2004-11-13

arxiv.org/abs/math/0411306v1

Mathematics

Symplectic Geometry

Latex, 40 pages

Scientific paper

This paper is concerned with the Hamiltonian actions of a torus on a symplectic manifold. We are interested here in two global invariants: the Duistermaat-Heckman measure DH(M), and the Riemann-Roch chatacters RR(M,L^k),k>0, which are defined when the symplectic manifold is prequantized by a Kostant-Souriau line bundle L. We can associate to each connected component C of regular values of the moment map the following local invariants: the polynomial DH_c which coincides with DH(M) on C, and the periodic polynomial m_c which computes the multiplicity of RR(M,L^k), k>0, in the cone generated by C. The purpose of this paper is to compute the differences DH_c - DH_c' and m_c - m_c' when C and C' are two adjacent connected components of regular values of the moment map.

Affiliated with

Also associated with

No associations

Rating

Jump formulas in Hamiltonian Geometry 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 Jump formulas in Hamiltonian Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jump formulas in Hamiltonian Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-489008