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Convexity properties of presymplectic moment maps

Symplectic Geometry 2020-02-13 v2

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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Cite

@article{arxiv.1706.00520,
  title  = {Convexity properties of presymplectic moment maps},
  author = {Yi Lin and Reyer Sjamaar},
  journal= {arXiv preprint arXiv:1706.00520},
  year   = {2020}
}

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