Homomorphisms from mapping class groups

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2005-04-01
Harvey, WJ
Korkmaz, Mustafa
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This paper concerns rigidity of the mapping class groups. It is shown that any homomorphism phi: Mod(g) -> Mod(h) between mapping class groups of closed orientable surfaces with distinct genera g > h is trivial if g >= 3, and has finite cyclic image for all g >= 1. Some implications are drawn for more general homomorphs of these groups.
General Mathematics
https://hdl.handle.net/11511/42446
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Department of Mathematics, Article

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Citation Formats
W. Harvey and M. Korkmaz, “Homomorphisms from mapping class groups,” BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, pp. 275–284, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42446.
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