Convexity properties of presymplectic moment maps

Yi Lin, Reyer Sjamaar

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish
Pages (from-to)1159-1200
Number of pages42
JournalJournal of Symplectic Geometry
Volume17
Issue number4
DOIs
StatePublished - 2019

Fingerprint

Dive into the research topics of 'Convexity properties of presymplectic moment maps'. Together they form a unique fingerprint.

Cite this