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Morse Inequalities and Embeddings for CR Manifolds with Circle Action
by Hendrik Herrmann   Xiaoshan Li

Vol. 15 No. 2 (2020) P.93~P.122
 DOI: https://doi.org/10.21915/BIMAS.2020201 10.21915/BIMAS.2020201

ABSTRACT

In this paper, we would like to make a report on Morse inequalities {and embeddings for CR manifolds with transversal CR circle action}. The results are contained in [24], [23], [21], [20] and [25]. Furthermore, in the last section we will give an explicit example for $S^1$-equivariant Szego kernels and their expansion on the sphere $S^3$ in $\mathbb C^2$ with respect to a family of transversal CR $S^1$-actions.

KEYWORDS

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary:

MILESTONES