Szego projections and new invariants for CR and contact manifolds

Raphael Ponge

Szego projections and new invariants for CR and contact manifolds

Differential Geometry 2007-05-23 v1 Complex Variables

Authors: Raphael Ponge

Abstract

In this paper we give a survey of the constructions in math.DG/0510061 of several new invariants for CR and contact manifolds. The latter extend previous constructions of Hirachi and Boutet de Monvel. In addition, we give simple algebro-geometric arguments proving that Hirachi's invariant vanishes on strictly pseudoconvex CR manifolds of dimension 4m+1.

Keywords

szego projections cr manifolds contact manifolds invariants hirachi invariant strictly pseudoconvex

Cite

@article{arxiv.math/0601370,
  title  = {Szego projections and new invariants for CR and contact manifolds},
  author = {Raphael Ponge},
  journal= {arXiv preprint arXiv:math/0601370},
  year   = {2007}
}

Comments

To appear in proceedings of the workshop "Analytic geometry of the Bergman kernel and related topics", RIMS, Kyoto University, Japan, Dec. 12-16, 2005

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