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arxiv: math/0209081 · v1 · submitted 2002-09-08 · 🧮 math.GT

Problems in foliations and laminations of 3-manifolds

classification 🧮 math.GT
keywords foliationslaminationslistmanifoldsproblemtheoryareasaspects
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This is a problem list in the theory of foliations and laminations of 3-manifolds. The focus is on the relationship of foliations and laminations with other aspects of 3-manifold topology, especially with the Thurston theory of geometric structures. This problem list is not meant to be comprehensive; rather it focusses on research areas that currently seem (to the author) particularly promising.

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  1. Left-orderability in Dehn fillings of pseudo-Anosov mapping tori

    math.GT 2026-04 unverdicted novelty 5.0

    All Dehn fillings of these pseudo-Anosov mapping tori have left-orderable fundamental groups via analysis of taut foliations and their branching behavior.