Non-abelian convexity by symplectic cuts

Non-abelian convexity by symplectic cuts. Lerman, E., Meinrenken, E., Tolman, S., & Woodward, C. arXiv:dg-ga/9603015, March, 1996. arXiv: dg-ga/9603015

Paper abstract bibtex

In this paper we extend the results of Kirwan et alii on convexity properties of the moment map for Hamiltonian group actions, and on the connectedness of the fibers of the moment map, to the case of non-compact orbifolds. Our motivation is twofold. First, the category of orbifolds is important in symplectic geometry because, generically, the symplectic quotient of a symplectic manifold is an orbifold. Second, our proof is conceptually very simple since it reduces the non-abelian case to the abelian case.

@article{lerman_non-abelian_1996,
	title = {Non-abelian convexity by symplectic cuts},
	url = {http://arxiv.org/abs/dg-ga/9603015},
	abstract = {In this paper we extend the results of Kirwan et alii on convexity properties of the moment map for Hamiltonian group actions, and on the connectedness of the fibers of the moment map, to the case of non-compact orbifolds. Our motivation is twofold. First, the category of orbifolds is important in symplectic geometry because, generically, the symplectic quotient of a symplectic manifold is an orbifold. Second, our proof is conceptually very simple since it reduces the non-abelian case to the abelian case.},
	urldate = {2019-06-28},
	journal = {arXiv:dg-ga/9603015},
	author = {Lerman, Eugene and Meinrenken, Eckhard and Tolman, Sue and Woodward, Chris},
	month = mar,
	year = {1996},
	note = {arXiv: dg-ga/9603015},
	keywords = {Mathematics - Differential Geometry}
}

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