Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Loxodromic elements in big mapping class groups via the Hooper–Thurston–Veech construction

Israel Morales and Ferrán Valdez

Algebraic & Geometric Topology 22 (2022) 3809–3854

Let S be an infinite-type surface and p S. We show that the Thurston–Veech construction for pseudo-Anosov elements, adapted for infinite-type surfaces, produces infinitely many loxodromic elements for the action of Mod (S;p) on the loop graph L(S;p) that do not leave any finite-type subsurface S S invariant. Moreover, in the language of Bavard and Walker, the Thurston–Veech construction produces loxodromic elements of any weight. As a consequence of Bavard and Walker’s work, any subgroup of Mod (S;p) containing two “Thurston–Veech loxodromics” of different weight has an infinite-dimensional space of nontrivial quasimorphisms.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

big mapping class groups, loxodromic actions, pseudo-Anosov
Mathematical Subject Classification
Primary: 20F65, 37E30, 57M60
Received: 8 May 2020
Revised: 18 August 2021
Accepted: 13 September 2021
Published: 14 March 2023
Israel Morales
Instituto de Matemáticas Unidad Oaxaca
Universidad Nacional Autonóma de México
Ferrán Valdez
Centro de Ciencias Matemáticas, Campus Morelia
Universidad Nacional Autonóma de México