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

26 Scopus citations

Abstract

If Y is a closed orientable graph manifold, we show that Y admits a coorientable taut foliation if and only if Y is not an L-space. Combined with previous work of Boyer and Clay, this implies that Y is an L-space if and only if π₁(Y) is not left-orderable.

Original language	English (US)
Pages (from-to)	604-612
Number of pages	9
Journal	Compositio Mathematica
Volume	156
Issue number	3
DOIs	https://doi.org/10.1112/S0010437X19007814
State	Published - Mar 2020

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Heegaard Floer
L-space
graph manifold
taut foliation

Access to Document

10.1112/S0010437X19007814

Cite this

@article{bb95e62e24114bf0999bb782becd4a66,

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

abstract = "If Y is a closed orientable graph manifold, we show that Y admits a coorientable taut foliation if and only if Y is not an L-space. Combined with previous work of Boyer and Clay, this implies that Y is an L-space if and only if π1(Y) is not left-orderable.",

keywords = "Heegaard Floer, L-space, graph manifold, taut foliation",

author = "Jonathan Hanselman and Jacob Rasmussen and Rasmussen, \{Sarah Dean\} and Liam Watson",

note = "Publisher Copyright: {\textcopyright} Foundation Compositio Mathematica 2020.",

year = "2020",

month = mar,

doi = "10.1112/S0010437X19007814",

language = "English (US)",

volume = "156",

pages = "604--612",

journal = "Compositio Mathematica",

issn = "0010-437X",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - L-spaces, taut foliations, and graph manifolds

AU - Hanselman, Jonathan

AU - Rasmussen, Jacob

AU - Rasmussen, Sarah Dean

AU - Watson, Liam

N1 - Publisher Copyright: © Foundation Compositio Mathematica 2020.

PY - 2020/3

Y1 - 2020/3

N2 - If Y is a closed orientable graph manifold, we show that Y admits a coorientable taut foliation if and only if Y is not an L-space. Combined with previous work of Boyer and Clay, this implies that Y is an L-space if and only if π1(Y) is not left-orderable.

AB - If Y is a closed orientable graph manifold, we show that Y admits a coorientable taut foliation if and only if Y is not an L-space. Combined with previous work of Boyer and Clay, this implies that Y is an L-space if and only if π1(Y) is not left-orderable.

KW - Heegaard Floer

KW - L-space

KW - graph manifold

KW - taut foliation

UR - https://www.scopus.com/pages/publications/85078496216

UR - https://www.scopus.com/pages/publications/85078496216#tab=citedBy

U2 - 10.1112/S0010437X19007814

DO - 10.1112/S0010437X19007814

M3 - Article

AN - SCOPUS:85078496216

SN - 0010-437X

VL - 156

SP - 604

EP - 612

JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 3

ER -

L-spaces, taut foliations, and graph manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this