Toric contact geometry in arbitrary codimension

Vestislav Apostolov; David M J Calderbank; Paul Gauduchon; Eveline Legendre

doi:10.1093/imrn/rny021

Toric contact geometry in arbitrary codimension

Vestislav Apostolov, David M J Calderbank, Paul Gauduchon, Eveline Legendre

Research output: Contribution to journal › Article › peer-review

4 Citations (SciVal)

Abstract

We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous to the Delzant polytope of a toric symplectic manifold.

Original language	English
Article number	my021
Pages (from-to)	2436-2467
Number of pages	22
Journal	International Mathematics Research Notices
Volume	2020
Issue number	8
Early online date	9 May 2018
DOIs	https://doi.org/10.1093/imrn/rny021
Publication status	Published - 30 Apr 2020

Keywords

math.DG
math.SG
53C15, 53D10, 53D20

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10.1093/imrn/rny021

https://arxiv.org/abs/1708.04942v2

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title = "Toric contact geometry in arbitrary codimension",

abstract = "We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous to the Delzant polytope of a toric symplectic manifold.",

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AU - Apostolov, Vestislav

AU - Calderbank, David M J

AU - Gauduchon, Paul

AU - Legendre, Eveline

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Y1 - 2020/4/30

N2 - We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous to the Delzant polytope of a toric symplectic manifold.

AB - We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous to the Delzant polytope of a toric symplectic manifold.

KW - math.DG

KW - math.SG

KW - 53C15, 53D10, 53D20

UR - https://www.scopus.com/pages/publications/85056805471

U2 - 10.1093/imrn/rny021

DO - 10.1093/imrn/rny021

M3 - Article

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EP - 2467

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 8

M1 - my021

ER -

Toric contact geometry in arbitrary codimension

Abstract

Keywords

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