On groups generated by two positive multi-twists: Teichmuller curves and Lehmer's number
By Christopher J. Leininger. 2003
97 citations recorded by the source corpus.
From a simple observation about a construction of Thurston, we derive several interesting facts about subgroups of the mapping class group generated by two positive multi-twists. In particular, we identify all configurations of curves for which the corresponding groups fail to be free, and show that a subset of these
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/67edfc96f6feb8c4d0ebd19b1cb8c0a3a8eadc49
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In Computational Theory and Mathematics
- Benson Farb
- Christopher J. Leininger
- Dany Margalit
- Jenny Wilson
- Thomas Church
- Samuel J. Taylor
- Wen-yuan Yang
In Geometry and Topology
- Benson Farb
- Dany Margalit
- Christopher J. Leininger
- Jason A. Behrstock
- Thomas Church
- Andrew Putman
- Jenny Wilson
- Samuel J. Taylor
In Mathematical Physics
- Benson Farb
- Dany Margalit
- Christopher J. Leininger
- Jason A. Behrstock
- Thomas Church
- Jenny Wilson
- Samuel J. Taylor
- K. Shackleton
Citations in the corpus
- Teichmüller curves in genus two: The decagon and beyond (2005, unknown): “For additional background on Teichmüller curves, see [Th], [V1], [V2], [Vo], [Wa], [KS], [Pu], [GJ], [EO], [Lei] and [Lo].”
- The lower central series and pseudo-Anosov dilatations (2006, background): “The map TATB has the smallest dilatation among all pseudo-Anosov elements of 〈TA, TB〉 (see [Le]).”