2017年7月
A lower bound of the distortion of the Torelli group in the mapping class group with boundary components
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
- ,
- 巻
- 26
- 号
- 8
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1142/S0218216517500493
- 出版者・発行元
- WORLD SCIENTIFIC PUBL CO PTE LTD
We prove that the Torelli group of an oriented surface with any number of boundary components is at least exponentially distorted in the mapping class group by using Broaddus-Farb-Putman's techniques. Further we show that the distortion of the Torelli group in the level d mapping class group is the same as that in the mapping class group.
- リンク情報
- ID情報
-
- DOI : 10.1142/S0218216517500493
- ISSN : 0218-2165
- eISSN : 1793-6527
- Web of Science ID : WOS:000404469200008