Homomorphisms from mapping class groups


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Harvey W., Korkmaz M.

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, cilt.37, ss.275-284, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 37
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1112/s0024609304003911
  • Dergi Adı: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.275-284

Özet

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.