Work

On geography of symplectic fillings of contact branched covers

Year: 2025

Type: article

Abstract: In this paper, we determine the Euler characteristics and signatures of the exact symplectic fillings of the contact double, 3-fold or 4-fold cyclic covers of the standard contact 3-sphere branched over certain transverse quasipositive links. These links include all quasipositive knots with crossing numbers smaller than 11 and all quasipositive links with crossing numbers smaller than 12 and nonzero nullity.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216526500057

Authors: Youlin Li, Yuhe Zhang

Institution: Shanghai Jiao Tong University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G1048918110, G8268231785