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

3 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

David Calderbank
- D.M.J.Calderbankbath.acuk
- Department of Mathematical Sciences - Professor
Person: Research & Teaching

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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 - Calderbank, David M J

AU - Gauduchon, Paul

AU - Legendre, Eveline

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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.

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DO - 10.1093/imrn/rny021

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EP - 2467

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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Toric contact geometry in arbitrary codimension

Abstract

Keywords

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David Calderbank

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