One parameter families of Riemann surfaces and presentations of elements of mapping class group by Dehn twists
We obtain a presentation of a certain orientation preserving periodic homeomorphism of a compact real surface of genus <i>g</i>≥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 of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 58(2), 585-594, 2006-04-01
The Mathematical Society of Japan