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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces


Authors: Yukio Matsumoto and 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: http://dx.doi.org/10.1090/S0273-0979-1994-00437-9
PII: S 0273-0979(1994)00437-9
Article copyright: © Copyright 1994 American Mathematical Society