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http://dx.doi.org/10.11568/kjm.2011.19.4.409

THE HOMOLOGY HOMOMORPHISM INDUCED BY HARER MAP

Lee, Deogju (Departments of Mathematics Inha University)
Song, Yongjin (Departments of Mathematics Inha University)

Publication Information

Korean Journal of Mathematics / v.19, no.4, 2011 , pp. 409-421 More about this Journal

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.

Keywords

braid groups; automorphism groups of groups; mapping class groups;

Citations & Related Records

Reference

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