Geodesic
Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”
Levine, Jerome1
1Department of Mathematics, Brandeis University, Waltham MA 02454-9110, USA
Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1197-1204
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In a previous paper [Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243–270], a group ℋg of homology cylinders over the oriented surface of genus g is defined. A filtration of ℋg is defined, using the Goussarov-Habiro notion of finite-type. It is erroneously claimed that this filtration essentially coincides with the relative weight filtration. The present note corrects this error and studies the actual relation between the two filtrations.

DOI : 10.2140/agt.2002.2.1197
Keywords: homology cylinder, mapping class group

Levine, Jerome  1

1 Department of Mathematics, Brandeis University, Waltham MA 02454-9110, USA 
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Levine, Jerome. Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1197-1204. doi: 10.2140/agt.2002.2.1197

[1] J Levine, Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243

[2] C Reutenauer, Free Lie algebras, London Mathematical Society Monographs. New Series 7, The Clarendon Press Oxford University Press (1993)

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