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2007 A function on the homology of 3–manifolds
Vladimir Turaev
Algebr. Geom. Topol. 7(1): 135-156 (2007). DOI: 10.2140/agt.2007.7.135

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.

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Vladimir Turaev. "A function on the homology of 3–manifolds." Algebr. Geom. Topol. 7 (1) 135 - 156, 2007. https://doi.org/10.2140/agt.2007.7.135

Information

Received: 21 November 2006; Accepted: 11 January 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1145.57011
MathSciNet: MR2308939
Digital Object Identifier: 10.2140/agt.2007.7.135

Subjects:
Primary: 57M27
Secondary: 57Q10

Rights: Copyright © 2007 Mathematical Sciences Publishers

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