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arXiv · 1706.00520

Convexity properties of presymplectic moment maps

Yi Lin·Reyer Sjamaar
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Abstract

The convexity and Morse-theoretic properties of moment maps in symplectic geometry typically fail for presymplectic manifolds. We find a condition on presymplectic moment maps that prevents these failures. Our result applies for instance to Prato's quasifolds and to Hamiltonian actions on contact manifolds and cosymplectic manifolds.

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Yi Lin, Reyer Sjamaar. 2017-06-01. Convexity properties of presymplectic moment maps. https://arxiv.org/abs/1706.00520

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