Circular spherical divisor and their contact topology
Circular spherical divisor and their contact topology
This paper investigates the symplectic and contact topology associated to circular spherical divisors. We classify, up to toric equivalence, all concave circular spherical divisors D that can be embedded symplectically into a closed symplectic 4-manifold and show they are all realized as symplectic log Calabi-Yau pairs if their complements are minimal. We then determine the Stein fillability and rational homology type of all minimal symplectic fillings for the boundary torus bundles of such D. When D is anticanonical and convex, we give explicit betti number bounds for Stein fillings of its boundary contact torus bundle.
Log Calabi-Yau surfaces, symplectic log Calabi-Yau, symplectic divisor, contact torus bundle
Li, Tian-Jun
a5772d84-1e2d-4691-a782-cc3dfe66f1eb
Mak, Cheuk Yu
49c234b8-842f-4cda-b082-d36505c24626
Min, Jie
0f72b14f-ab25-4715-bc6c-faf873f83fd3
Li, Tian-Jun
a5772d84-1e2d-4691-a782-cc3dfe66f1eb
Mak, Cheuk Yu
49c234b8-842f-4cda-b082-d36505c24626
Min, Jie
0f72b14f-ab25-4715-bc6c-faf873f83fd3
Li, Tian-Jun, Mak, Cheuk Yu and Min, Jie
(2021)
Circular spherical divisor and their contact topology.
Communications in Analysis and Geometry.
(In Press)
Abstract
This paper investigates the symplectic and contact topology associated to circular spherical divisors. We classify, up to toric equivalence, all concave circular spherical divisors D that can be embedded symplectically into a closed symplectic 4-manifold and show they are all realized as symplectic log Calabi-Yau pairs if their complements are minimal. We then determine the Stein fillability and rational homology type of all minimal symplectic fillings for the boundary torus bundles of such D. When D is anticanonical and convex, we give explicit betti number bounds for Stein fillings of its boundary contact torus bundle.
Text
LogCYcontact
- Accepted Manuscript
More information
Accepted/In Press date: 9 November 2021
Keywords:
Log Calabi-Yau surfaces, symplectic log Calabi-Yau, symplectic divisor, contact torus bundle
Identifiers
Local EPrints ID: 476969
URI: http://eprints.soton.ac.uk/id/eprint/476969
ISSN: 1019-8385
PURE UUID: db1215d6-3f01-46c9-aa8d-d745e2ee4ee2
Catalogue record
Date deposited: 22 May 2023 17:06
Last modified: 17 Mar 2024 04:17
Export record
Contributors
Author:
Tian-Jun Li
Author:
Cheuk Yu Mak
Author:
Jie Min
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics