Useful branched surfaces which carry nothing
Danny Calegari
TL;DR
The paper discusses branched surfaces that do not carry laminations directly but can do so after a finite cover, revealing new properties of their carrying capabilities.
Contribution
It introduces examples of branched surfaces with the property that they do not carry laminations themselves but do so after a finite cover, highlighting a novel phenomenon.
Findings
Existence of branched surfaces not carrying laminations directly
Finite covers can enable carrying of laminations
New insights into the structure of branched surfaces
Abstract
There are examples of branched surfaces that do not fully carry laminations, but their preimage in a finite cover does fully carry a lamination
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Taxonomy
TopicsGeometric and Algebraic Topology · Computational Geometry and Mesh Generation · Advanced Materials and Mechanics