On Legendrian surgeries between lens spaces
Olga Plamenevskaya
TL;DR
This paper investigates the conditions under which Legendrian surgeries can transform one lens space into another, providing new obstructions and exploring surgeries in overtwisted contact manifolds.
Contribution
It introduces new obstructions to Legendrian surgeries between tight lens spaces and examines surgeries involving overtwisted contact manifolds.
Findings
Identified obstructions to Legendrian surgeries between tight lens spaces
Analyzed Legendrian surgeries in overtwisted contact manifolds
Provided criteria for the existence or non-existence of certain surgeries
Abstract
We obtain some obstructions to existence of Legendrian surgeries between tight lens spaces. We also study Legendrian surgeries between overtwisted contact manifolds.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds