Journal article
Complete Description of Agol Cycles of Pseudo-Anosov 3-braids
Tokyo journal of mathematics, Vol.48(2), pp.383-409
12/01/2025
DOI: 10.3836/tjm/1502179428
Abstract
The equivalence class of an Agol cycle is a conjugacy invariant of a pseudo-Anosov map. Mosher defined train tracks in the torus associated with Farey intervals and investigated the relation between the train tracks and the continued fraction expansions of quadratic irrational numbers. We study Mosher’s train tracks and describe Agol cycles of all the pseudo-Anosov 3-braids.
Details
- Title: Subtitle
- Complete Description of Agol Cycles of Pseudo-Anosov 3-braids
- Creators
- Keiko Kawamuro - DEPARTMENT OF MATHEMATICS, UNIVERSITY OF IOWA, IOWA CITY, IA, United StatesEiko Kin - The University of Osaka
- Resource Type
- Journal article
- Publication Details
- Tokyo journal of mathematics, Vol.48(2), pp.383-409
- DOI
- 10.3836/tjm/1502179428
- ISSN
- 0387-3870
- Publisher
- TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER; TOKYO
- Number of pages
- 27
- Grant note
- DMS-2005450 / National Science Foundation (http://data.elsevier.com/vocabulary/SciValFunders/100000001) JP21K03247; JP22H01125; JP23H01081 / Japan Society for the Promotion of Science (http://data.elsevier.com/vocabulary/SciValFunders/501100001691) Japan Society for the Promotion of Science (http://data.elsevier.com/vocabulary/SciValFunders/501100001691) National Science Foundation (http://data.elsevier.com/vocabulary/SciValFunders/100000001)
- Language
- English
- Date published
- 12/01/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9985132067602771
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