Genus one open books with non-left-orderable fundamental group-Reference-Cited by-同舟云学术

Genus one open books with non-left-orderable fundamental group

Published:2014-01-10 Issue:4 Volume:142 Page:1425-1435
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Li Yu,Watson Liam

Abstract

Let Y Y be a closed, connected, orientable three-manifold admitting a genus one open book decomposition with one boundary component. We prove that if Y Y is an L-space, then the fundamental group of Y Y is not left-orderable. This answers a question posed by John Baldwin.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-04/S0002-9939-2014-11847-8/S0002-9939-2014-11847-8.pdf

Reference14 articles.

1. Heegaard Floer homology and genus one, one-boundary component open books;Baldwin, John A.;J. Topol.,2008

2. On L-spaces and left-orderable fundamental groups;Boyer, Steven;Math. Ann.,2013

3. Orderable 3-manifold groups;Boyer, Steven;Ann. Inst. Fourier (Grenoble),2005

4. Left-orderable fundamental groups and Dehn surgery;Clay, Adam;Int. Math. Res. Not. IMRN,2013

5. On cabled knots, Dehn surgery, and left-orderable fundamental groups;Clay, Adam;Math. Res. Lett.,2011

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Integral left-orderable surgeries on genus one fibered knots;Journal of Knot Theory and Its Ramifications;2021-05-22

2. Left-orderability, branched covers and double twist knots;Proceedings of the American Mathematical Society;2021-01-13

3. Taut foliations in branched cyclic covers and left-orderable groups;Transactions of the American Mathematical Society;2019-06-10

4. Alternating links and left-orderability;Proceedings of the American Mathematical Society;2018-03-09

5. 3-Manifold Groups;EMS SER LECT MATH;2015-08-20