Annales Academię Scientiarum Fennicę
Mathematica
Volumen 37, 2012, 53-67
Graduate Center of the City University of New York,
Department of Mathematics
New York, NY 10016, U.S.A.; mbeck 'at' gc.cuny.edu
Queens College of the City University of New York,
Department of Mathematics
Flushing, NY 11367-1597, U.S.A., and
Graduate Center of the City University of New York, Department of Mathematics
New York, NY 10016, U.S.A.; yunping.jiang 'at' qc.cuny.edu
Queens College of the City University of New York,
Department of Mathematics
Flushing, NY 11367-1597, U.S.A., and
Graduate Center of the City University of New York, Department of Mathematics
New York, NY 10016, U.S.A.; sudeb.mitra 'at' qc.cuny.edu
Tokyo Institute of Technology, Department of Mathematics
O-okayama, Meguro-ku, Tokyo 152-8551, Japan; shiga 'at' math.titech.ac.jp
Abstract. We study some relationships between holomorphic motions, continuous motions, and monodromy. We also study extensions of holomorphic motions over Riemann surfaces and characterize the extendability of holomorphic motions over some planar regions in terms of monodromy.
2010 Mathematics Subject Classification: Primary 32G15; Secondary 30C99, 30F99, 37F30.
Key words: Holomorphic motions, quasiconformal motions, continuous motions, monodromy.
Reference to this article: M. Beck, Y. Jiang, S. Mitra and H. Shiga: Extending holomorphic motions and monodromy. Ann. Acad. Sci. Fenn. Math. 37 (2012), 53-67.
doi:10.5186/aasfm.2012.3713
Copyright © 2012 by Academia Scientiarum Fennica