Work

L-space knots

Year: 2018

Type: article

Abstract: We characterize the $(1,1)$ knots in the 3-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non-trivial L-space surgeries. We also recover a characterization of the Berge manifold among 1-bridge braid exteriors.

Source: Compositio Mathematica

DOI: 10.1112/s0010437x17007989

Authors: Joshua Evan Greene, Sam Lewallen, Faramarz Vafaee

Institutions: Boston College, Princeton University, California Institute of Technology

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Alfred P. Sloan Foundation

Awards: G6671297155, CAREER: Combinatorial Methods in Low-Dimensional Topology