Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2

DOI10.1090/S0002-9939-00-05360-0zbMath0965.57014OpenAlexW2059785943MaRDI QIDQ4501102

Ruifeng Qiu

Publication date: 3 September 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05360-0

zbMATH Keywords

incompressible surface

Mathematics Subject Classification ID

Related Items (max. 100)

A standard form of incompressible surfaces in 3-dimensional handlebodies ⋮ Incompressible surfaces in handlebodies and isotopies ⋮ Incompressible surfaces in handlebodies and boundary reducible 3-manifolds ⋮ Small knots and large handle additions ⋮ On the mapping class group of a genus 2 handlebody ⋮ A complex of incompressible surfaces for handlebodies and the mapping class group ⋮ 3-manifold containing separating incompressible surfaces of all positive genera ⋮ A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus ⋮ 2-STRING FREE TANGLES AND INCOMPRESSIBLE SURFACES

Cites Work

• Incompressible planar surfaces in 3-manifolds
• Incompressibility of surfaces in surgered 3-manifolds
• Adding a 2-Handle to a 3-Manifold: An Application to Property R
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