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$%M. Ishizaka, Presentation of hyperelliptic periodic monodromies and splitting families, Rev. Mat. Complut. 20 (2007), no. 2, 483–495.%$

Presentation of Hyperelliptic Periodic Monodromies and Splitting Families
Mizuho ISHIZAKA
Mizuho Ishizaka
Department of Mathematics
School of Science and Engineering
Waseda University
3-4-1, Ohkubo Shinjuku
Tokyo 169 8050 — Japan

ishizakamizuho@yahoo.co.jp

Received: November 14, 2006
Accepted: April 23, 2007

ABSTRACT

Let Σg be an oriented connected real two dimensional manifold of genus g without boundary. For periodic homeomorphisms of Σg that commute with a hyperelliptic involution, we give a method to obtain their presentations by Dehn twists.

Key words: mapping class group, degeneration.
2000 Mathematics Subject Classification:
14D06, 14H45, 14H15, 57M99, 30F99.