Symplectic actions of 2-tori on 4-manifolds
Author(s)
Bibliographic Information
Symplectic actions of 2-tori on 4-manifolds
（Memoirs of the American Mathematical Society, no. 959）
American Mathematical Society, c2009
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Note
"March 2010, volume 204, number 959 (third of 5 numbers)."
Includes bibliographical references (p. 79-81)
Description and Table of Contents
Description
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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