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Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces
Author(s):
Yukio
Matsumoto;
José María
Montesinos-Amilibia
Journal:
Bull. Amer. Math. Soc.
30
(1994),
70-75.
MSC (2000):
Primary 30F60;
Secondary 32G15, 57M99
MathSciNet review:
1217354
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Abstract:
We will announce two theorems. The first theorem will classify all topological types of degenerate fibers appearing in one-parameter families of Riemann surfaces, in terms of "pseudoperiodic" surface homeomorphisms. The second theorem will give a complete set of conjugacy invariants for the mapping classes of such homeomorphisms. This latter result implies that Nielsen's set of invariants [Surface transformation classes of algebraically finite type, Collected Papers 2, Birkhäuser (1986)] is not complete.
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Additional Information:
DOI:
10.1090/S0273-0979-1994-00437-9
PII:
S 0273-0979(1994)00437-9
Copyright of article:
Copyright
1994,
American Mathematical Society
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