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

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

2002-07-30

arxiv.org/abs/math/0207290v3

Algebr. Geom. Topol. 2 (2002) 1197-1204

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-47.abs.html

Scientific paper

In a previous paper [Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243--270, arXiv:math.GT/0010247], 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.

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