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Autor:
Precio: $811.11
Editorial:
Año: 2009
Tema:
Edición: 1ª
Sinopsis
ISBN: 9780821847138
In this paper the author classifies symplectic actions of 2-tori on compact connected symplectic 4-manifolds, up to equivariant symplectomorphisms. This extends results of Atiyah, Guillemin-Sternberg, Delzant and Benoist. The classification is in terms of a collection of invariants of the topology of the manifold, of the torus action and of the symplectic form. The author constructs explicit models of such symplectic manifolds with torus actions, defined in terms of these invariants.
Table of Contents
Introduction
The orbit space
Global model
Global model up to equivariant diffeomorphisms
Classification: Free case
Orbifold homology and geometric mappings
Classification
The four-dimensional classification
Appendix: (sometimes symplectic) orbifolds
Bibliography