Canonical contact unit cotangent bundle
Takahiro Oba, Burak Ozbagci
TL;DR
This paper constructs an explicit open book decomposition for the canonical contact structure on the unit cotangent bundle of a compact surface, providing a concrete geometric description.
Contribution
It introduces a specific open book decomposition tailored to the canonical contact structure on the unit cotangent bundle of surfaces.
Findings
Explicit open book decomposition constructed
Provides geometric insight into contact structures
Facilitates further topological analysis
Abstract
We describe an explicit open book decomposition adapted to the canonical contact structure on the unit cotangent bundle of a compact surface.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory