One parameter families of Riemann surfaces and presentations of elements of mapping class group by Dehn twists
-
- Ishizaka Mizuho
- Department of Mathmatics, School of Science and Engineering, Waseda University
Search this article
Abstract
We obtain a presentation of a certain orientation preserving periodic homeomorphism of a compact real surface of genus g≥2 by a product of right handed Dehn twists using a splitting family. It was expected that a presentation of a homeomorphism by right handed Dehn twists obtained from a splitting family is one of the shortest presentation. In this paper, we give a counter example of this conjecture.
Journal
-
- Journal of the Mathematical Society of Japan
-
Journal of the Mathematical Society of Japan 58 (2), 585-594, 2006
The Mathematical Society of Japan
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1390282680093215744
-
- NII Article ID
- 10018381462
-
- NII Book ID
- AA0070177X
-
- ISSN
- 18811167
- 18812333
- 00255645
-
- MRID
- 2228574
-
- NDL BIB ID
- 7892178
-
- Text Lang
- en
-
- Data Source
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- Abstract License Flag
- Disallowed