L-spaces, taut foliations, and graph manifolds

Jonathan Hanselman; Jacob Rasmussen; Sarah Dean Rasmussen; Liam Watson

doi:10.1112/S0010437X19007814

L-spaces, taut foliations, and graph manifolds

Jonathan Hanselman, Jacob Rasmussen, Sarah Dean Rasmussen, Liam Watson

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and Clay, this implies that is an L-space if and only if is not left-orderable.

Original language	English (US)
Pages (from-to)	604-612
Number of pages	9
Journal	Compositio Mathematica
DOIs	https://doi.org/10.1112/S0010437X19007814
State	Accepted/In press - 2020

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

2010 Mathematics Subject Classification
57M27

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10.1112/S0010437X19007814

Cite this

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title = "L-spaces, taut foliations, and graph manifolds",

abstract = "If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and Clay, this implies that is an L-space if and only if is not left-orderable.",

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AU - Rasmussen, Jacob

AU - Rasmussen, Sarah Dean

AU - Watson, Liam

N1 - Publisher Copyright: © The Authors 2020.

PY - 2020

Y1 - 2020

N2 - If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and Clay, this implies that is an L-space if and only if is not left-orderable.

AB - If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and Clay, this implies that is an L-space if and only if is not left-orderable.

KW - 2010 Mathematics Subject Classification

KW - 57M27

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JO - Compositio Mathematica

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ER -

L-spaces, taut foliations, and graph manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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