Essential loops in taut ideal triangulations

Schleimer, Saul; Segerman, Henry

doi:10.2140/agt.2020.20.487

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Essential loops in taut ideal triangulations

Saul Schleimer and Henry Segerman

Algebraic & Geometric Topology 20 (2020) 487–501

DOI: 10.2140/agt.2020.20.487

Abstract

In this note we combinatorialise a technique of Novikov. We use this to prove that, in a three-manifold equipped with a taut ideal triangulation, any vertical or normal loop is nontrivial in the fundamental group.

Keywords

taut, ideal triangulations, essential loops

Mathematical Subject Classification 2010

Primary: 57M05

Secondary: 57M20

References

Publication

Received: 10 March 2019

Revised: 31 May 2019

Accepted: 17 June 2019

Published: 23 February 2020

Authors

Saul Schleimer
Mathematics Institute University of Warwick Coventry United Kingdom
http://homepages.warwick.ac.uk/~masgar/
Henry Segerman
Department of Mathematics Oklahoma State University Stillwater, OK United States
https://math.okstate.edu/people/segerman/

Volume 20, issue 1 (2020)