A weighted version of quantization commutes with reduction for a toric manifold
Abstract
Description
We compute explicitly the equivariant Hirzebruch $χ_y$-characteristic of an equivariant complex line bundle over a toric manifold and state a weighted version of the quantization commutes with reduction principle in symplectic geometry. Then, we give a weighted decomposition formula for any simple polytope in $\R^n$. This formula generalizes a polytope decomposition due to Lawrence [10] and Varchenko [14] and extends a previous weighted version obtained by Karshon, Sternberg and Weitsman [9].
14 pages, 2 figures. Followed suggestions by referee and restructured all sections. Accepted for publication
14 pages, 2 figures. Followed suggestions by referee and restructured all sections. Accepted for publication