Szego projections and new invariants for CR and contact manifolds

Details Szego projections and new invariants for CR and contact manifolds Szego projections and new invariants for CR and contact manifolds

2006-01-15

arxiv.org/abs/math/0601370v1

Mathematics

Differential Geometry

To appear in proceedings of the workshop "Analytic geometry of the Bergman kernel and related topics", RIMS, Kyoto University,

Scientific paper

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.

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