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On the kernel of the Magnus representation of the Torelli group

Author(s): Masaaki Suzuki
Journal: Proc. Amer. Math. Soc. 133 (2005), 1865-1872.
MSC (2000): Primary 57M05; Secondary 20F34, 57N05
Posted: December 20, 2004
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Abstract: From our previous paper, it is known that the Magnus representation of the Torelli group is not faithful. In this paper, we characterize the kernel of its representation for a certain kind of elements.

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Additional Information:

Masaaki Suzuki
Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan
Email: macky@ms.u-tokyo.ac.jp

DOI: 10.1090/S0002-9939-04-07766-4
PII: S 0002-9939(04)07766-4
Keywords: Magnus representation, mapping class group, faithful
Received by editor(s): October 16, 2003
Received by editor(s) in revised form: February 23, 2004
Posted: December 20, 2004
Additional Notes: The author was supported in part by JSPS Research Fellowships for Young Scientists.
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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