On the strongly pseudoconcave boundary of a compact complex surface
Complex Variables
2020-12-08 v1 Geometric Topology
Abstract
We establish the method of holomorphic handle attaching to the strongly pseudoconcave boundary of a complex surface. We use this for proving the following statements: (1) every closed connected oriented contact 3-manifold can be filled as the strongly pseudoconcave boundary of a compact complex surface; (2) any two closed connected oriented contact 3-manifolds are complex cobordant. Moreover, we show that such complex surface (or complex cobordism) can be taken K\"ahler.
Keywords
Cite
@article{arxiv.2012.03018,
title = {On the strongly pseudoconcave boundary of a compact complex surface},
author = {Naohiko Kasuya and Daniele Zuddas},
journal= {arXiv preprint arXiv:2012.03018},
year = {2020}
}
Comments
13 pages