학술논문
Classification of tight contact structures on surgeries on the figure-eight knot
Document Type
Working Paper
Author
Source
Geom. Topol. 24 (2020) 1457-1517
Subject
Language
Abstract
Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such classification on an infinite family of (mostly) hyperbolic 3-manifolds: surgeries on the figure-eight knot. We also determine which of the tight contact structures are symplectically fillable and which are universally tight.
Comment: 47 pages, many color figures; v2: minor corrections, updated title
Comment: 47 pages, many color figures; v2: minor corrections, updated title