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research article
Presymplectic convexity and (ir)rational polytopes
January 1, 2019
In this paper, we extend the Atiyah-Guillemin-Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define and study the Morita equivalence of presymplectic toric manifolds and of their corresponding framed momentum polytopes, which may be rational or non-rational. Toric orbifolds [16], quasifolds [3] and non-commutative toric varieties [14] may be viewed as the quotient of our presymplectic toric manifolds by the kernel isotropy foliation of the presymplectic form.
Use this identifier to reference this record
Type
research article
Web of Science ID
WOS:000497977300008
Authors
Publication date
2019-01-01
Published in
Volume
17
Issue
5
Start page
1479
End page
1511
Peer reviewed
REVIEWED
Available on Infoscience
December 5, 2019