Kaehler cuts
微分几何
2007-05-23 v1 复变函数
辛几何
摘要
A symplectic cut of a manifold M with a Hamiltonian circle action is a symplectic quotient of M x C. If M is Kaehler then, since C is Kaehler, the cut space is Kaehler as well. The symplectic structure on the cut is well understood. In this paper we describe the complex structure (and hence the metric) on the cut. We then generalize the construction to the case where M has a torus action and C is replaced by a toric Kaehler manifold.
引用
@article{arxiv.math/0212062,
title = {Kaehler cuts},
author = {D. Burns and V. Guillemin and E. Lerman},
journal= {arXiv preprint arXiv:math/0212062},
year = {2007}
}
备注
14 pages