Proceedings of the Second ISAAC Congress pp 871-875 | Cite as
A Remark on the Bers Type of Some Self-Maps of Riemann Surfaces with Two Specified Points
Chapter
Abstract
Let S be a Riemann surface of analytically finite type (g, n) with 2g -2+n > 0. Take two points p1, p2 ∈ S, and set S p 1, p2 = S \ {p1, p2}. Let Homeo+ (S;p1, p2) be the group of all orientation preserving homeomorphisms ω: S → S fixing p1, p2 and isotopic to the identity on S. Denote by Home 0 + (S;p1, p2) the set of all elements of Homeo+(S;p1, p2) isotopic to the identity on S p 1,p2. Then Home 0 + (S;p1, p2) is a normal subgroup of Homeo+ (S;p1, p2). We set Isot(S;p1, p2) = Homeo+(S;p1, p2)/ Home 0 + (S;p1, p2).
Key words
Primary 32G15 Secondary 14H15 30F10 30F40 30F60 57M99Preview
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© Kluwer Academic Publishers 2000