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).
The first named author was supported by the Grant-in-Aid for Scientific Research No.10440059, Japan Society for the Promotion of Science.
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© 2000 Kluwer Academic Publishers
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Imayoshi, Y., Ito, M., Yamamoto, H. (2000). A Remark on the Bers Type of Some Self-Maps of Riemann Surfaces with Two Specified Points. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_9
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_9
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