Toric contact geometry in arbitrary codimension

Vestislav Apostolov (1) , David M J Calderbank , Paul Gauduchon (2) , Eveline Legendre (3)

1 CIRGET - Centre interuniversitaire de recherches en géométrie et topologie [Montréal]
2 CMLS - Centre de Mathématiques Laurent Schwartz
3 IMT - Institut de Mathématiques de Toulouse UMR5219

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.

Domaines: Géométrie métrique [math.MG]; Géométrie symplectique [math.SG]

Vestislav Apostolov, David M J Calderbank, Paul Gauduchon, Eveline Legendre. Toric contact geometry in arbitrary codimension. 2018. ⟨hal-01881053⟩