منابع مشابه
Abelian Quotients of Monoids of Homology Cylinders
We discuss abelian quotients of monoids of homology cylinders of a surface, each of which consists of a compact 3-manifold as a homology cobordism between two copies of a surface and markings of the boundary. We show that both of the monoid of all homology cylinders and that of irreducible homology cylinders are not finitely generated and moreover they have big abelian quotients. The proof is g...
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Let T be a compact torus and (M,ω) a Hamiltonian T -space. In a previous paper, the authors showed that the T -equivariant K-theory of the manifold M surjects onto the ordinary integral K-theory of the symplectic quotient M//T , under certain technical conditions on the moment map. In this paper, we use equivariant Morse theory to give a method for computing theK-theory of M//T by obtaining an ...
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Let M be a symplectic manifold, equipped with a Hamiltonian action of a torus T . We give an explicit formula for the rational cohomology ring of the symplectic quotient M//T in terms of the cohomology ring of M and fixed point data. Under some restrictions, our formulas apply to integral cohomology. In certain cases these methods enable us to show that the cohomology of the reduced space is to...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1995
ISSN: 0034-5318
DOI: 10.2977/prims/1195164795