Rank Gradients of Infinite Cyclic Covers of 3-Manifolds

DeBlois, Jason and Friedl, Stefan and Vidussi, Stefano (2014) Rank Gradients of Infinite Cyclic Covers of 3-Manifolds. MICHIGAN MATHEMATICAL JOURNAL, 63 (1). pp. 65-81. ISSN 0026-2285,

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Abstract

Given a 3-manifold M with no spherical boundary components, and a primitive class phi is an element of H-1 (M;Z), we show that the following are equivalent: (1) phi is a fibered class, (2) the rank gradient of (M,phi) is zero, (3) the Heegaard gradient of (M,phi) is zero.,

Item Type: Article
Uncontrolled Keywords: TWISTED ALEXANDER POLYNOMIALS; REIDEMEISTER TORSION; MANIFOLDS; GENUS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Nov 2019 10:48
Last Modified: 29 Nov 2019 10:48
URI: https://pred.uni-regensburg.de/id/eprint/11017

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