Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”

In a previous paper [Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243–270], a group $ℋ_{g}$ of homology cylinders over the oriented surface of genus $g$ is defined. A filtration of $ℋ_{g}$ 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.

Keywords

homology cylinder, mapping class group

Mathematical Subject Classification 2000

Primary: 57N10

Secondary: 57M25

References

Forward citations

Publication

Received: 5 August 2002

Accepted: 17 December 2002

Published: 27 December 2002

Authors

Jerome Levine
Department of Mathematics Brandeis University Waltham MA 02454-9110 USA
http://people.brandeis.edu/~levine/

Volume 2, issue 2 (2002)

Jerome Levine