2010arXiv (Cornell University)Open access

Non-symplectic smooth circle actions on symplectic manifolds

Bogusław Hajduk, Krzysztof Marian Pawalowski, Aleksy Tralle

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Abstract

We present some methods to construct smooth circle actions on symplectic manifolds with non-symplectic fixed point sets or non-symplectic cyclic isotropy point sets. All such actions are not compatible with any symplectic form.

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We present some methods to construct smooth circle actions on symplectic manifolds with non-symplectic fixed point sets or non-symplectic cyclic isotropy point sets. All such actions are not compatible with any symplectic form.

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Available abstract

We present some methods to construct smooth circle actions on symplectic manifolds with non-symplectic fixed point sets or non-symplectic cyclic isotropy point sets. All such actions are not compatible with any symplectic form.

Key concepts: Symplectic geometry, Symplectomorphism, Symplectic representation, Symplectic manifold, Symplectic vector space, Moment map, Pure mathematics, Mathematics

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