Simple non-rational convex polytopes via symplectic geometry
نویسندگان
چکیده
منابع مشابه
Simple Non-Rational Convex Polytopes via Symplectic Geometry
In this article we consider a generalization of manifolds and orbifolds which we call quasifolds; quasifolds of dimension k are locally isomorphic to the quotient of the space R k by the action of a discrete group typically they are not Hausdorff topological spaces. The analogue of a torus in this geometry is a quasitorus. We define Hamiltonian actions of quasitori on symplectic quasifolds and ...
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We construct, for each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e. each of these spaces is a collection of quasifolds glued together in an suitable way. A quasifold is a space locally modelled on R k modulo the action of a discrete, possibly infinite, group. The way strata are glued to each other also involves the actio...
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ژورنال
عنوان ژورنال: Topology
سال: 2001
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(00)00006-9