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arXiv:math/0203042 [math.AT]AbstractReferencesReviewsResources

A norm for the cohomology of 2-complexes

Vladimir Turaev

Published 2002-03-05Version 1

We introduce a norm on the real 1-cohomology of finite 2-complexes determined by the Euler characteristics of graphs on these complexes. We also introduce twisted Alexander-Fox polynomials of groups and show that they give rise to norms on the real 1-cohomology of groups. Our main theorem states that for a finite 2-complex X, the norm on H^1(X; R) determined by graphs on X majorates the Alexander-Fox norms derived from \pi_1(X).

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-7.abs.html
Journal: Algebr. Geom. Topol. 2 (2002) 137-155
Categories: math.AT, math.GT
Subjects: 57M20, 57M05
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