Volume 7, issue 1 (2007)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
A function on the homology of 3–manifolds

Vladimir Turaev

Algebraic & Geometric Topology 7 (2007) 135–156

arXiv: math.GT/0611149

Abstract

In analogy with the Thurston norm, we define for an orientable 3–manifold M a numerical function on H2(M; ). This function measures the minimal complexity of folded surfaces representing a given homology class. A similar function is defined on the torsion subgroup of H1(M; ). These functions are estimated from below in terms of abelian torsions of M.

Keywords
genus, Thurston norm, torsion
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57Q10
References
Publication
Received: 21 November 2006
Accepted: 11 January 2007
Published: 29 March 2007
Authors
Vladimir Turaev
IRMA, CNRS et Université Louis Pasteur
7 rue René Descartes
67084 Strasbourg
France
Department of Mathematics
Indiana University
Bloomington IN 47405
USA