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Szego projections and new invariants for CR and contact manifolds

Raphael Ponge
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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.

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Raphael Ponge. 2006-01-15. Szego projections and new invariants for CR and contact manifolds. https://arxiv.org/abs/math/0601370

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