Teichmüller space and the mapping class group of the twice punctured torus
Published: 22 October 2021
Journal of the Mathematical Society of Japan , Volume 73, pp 1-32; https://doi.org/10.2969/jmsj/84998499
Abstract: We introduce coordinate systems to the Teichmüller space of the twice-punctured torus and give matrix representations for the points of Teichmüller space. The coordinate systems allow representation of the mapping class group of the twice punctured torus as a group of rational transformations and provide several applications to the mapping class group and also to Kleinian groups.
Keywords: mapping class group / representations / Teichmüller / give / matrix / Kleinian / twice punctured
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Click here to see the statistics on "Journal of the Mathematical Society of Japan" .