Non-symplectic smooth circle actions on symplectic manifolds
Bogusław Hajduk, Krzysztof Marian Pawalowski, Aleksy Tralle
Abstract
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Bogusław Hajduk, Krzysztof Marian Pawalowski, Aleksy Tralle
Abstract
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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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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