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2002 Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”
Jerome Levine
Algebr. Geom. Topol. 2(2): 1197-1204 (2002). DOI: 10.2140/agt.2002.2.1197

Abstract

In a previous paper [Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243–270], a group g of homology cylinders over the oriented surface of genus g is defined. A filtration of 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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Jerome Levine. "Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”." Algebr. Geom. Topol. 2 (2) 1197 - 1204, 2002. https://doi.org/10.2140/agt.2002.2.1197

Information

Received: 5 August 2002; Accepted: 17 December 2002; Published: 2002
First available in Project Euclid: 21 December 2017

Digital Object Identifier: 10.2140/agt.2002.2.1197

Subjects:
Primary: 57N10
Secondary: 57M25

Rights: Copyright © 2002 Mathematical Sciences Publishers

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