|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
A
concave holomorphic filling of an overtwisted contact
$3$–sphere
Naohiko Kasuya and Daniele Zuddas |
|
Algebraic & Geometric Topology 23 (2023) 2141–2156
|
 |
Abstract |
|
We prove that the closed –ball admits non-Kähler complex structures with strongly pseudoconcave boundary. Moreover, the induced contact structure on the boundary –sphere is overtwisted. |
Keywords
non-Kähler complex surface, overtwisted contact 3–manifold,
concave filling
|
Mathematical Subject Classification
Primary: 32V40
Secondary: 32Q55, 57R17
|
References |
Publication
Received: 4 October 2020
Revised: 14 October 2021
Accepted: 16 December 2021
Published: 25 July 2023
|
Authors |
| Naohiko Kasuya | |
| Department of Mathematics Hokkaido University Sapporo Japan |
|
| Daniele Zuddas | |
| Dipartimento di Matematica e
Geoscienze University of Trieste Trieste Italy |
|
| https://www.danielezuddas.eu | |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
