Korean Journal of Mathematics

  • 제19권4호
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  • Pages.409-421
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  • 2011
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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THE HOMOLOGY HOMOMORPHISM INDUCED BY HARER MAP

  • 투고 : 2011.10.20
  • 심사 : 2011.11.30
  • 발행 : 2011.12.30
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초록

We study a natural map from the braid group to the mapping class group which is called Harer map. It is rather new and different from the classical map which was studied in 1980's by F. Cohen, J. Harer et al. We show that this map is homologically trivial for most coefficients by using the fact that this map factors through the symmetric group.

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참고문헌

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