Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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THE HOMOLOGY HOMOMORPHISM INDUCED BY HARER MAP

  • Received : 2011.10.20
  • Accepted : 2011.11.30
  • Published : 2011.12.30
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Abstract

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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References

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