Algebraic and Geometric Topology 2 (2002),
paper no. 47, pages 1197-1204.
Addendum and correction to: Homology cylinders: an enlargement of the mapping class group
Jerome Levine
Abstract.
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.
Keywords.
Homology cylinder, mapping class group
AMS subject classification.
Primary: 57N10.
Secondary: 57M25.
DOI: 10.2140/agt.2002.2.1197
E-print: arXiv:math.GT/0207290
Submitted: 5 August 2002.
Accepted: 17 December 2002.
Published: 27 December 2002.
Notes on file formats
Jerome Levine
Department of Mathematics, Brandeis University
Waltham, MA 02454-9110, USA
Email: levine@brandeis.edu
URL:http://people.brandeis.edu/~levine/
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