Overview

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.

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Author:   Alvaro Pelayo
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New ed.
Volume:   v. 204, No. 959
Weight:   0.155kg
ISBN:  

9780821847138

ISBN 10:   0821847139
Pages:   81
Publication Date:   30 March 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order  
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