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Growth of regulators in finite abelian coverings

Thang T Q Lê
Algebraic & Geometric Topology 13 (2013) 2383–2404
DOI: 10.2140/agt.2013.13.2383
Abstract

We show that the regulator, which is the difference between the homology torsion and the combinatorial Ray–Singer torsion, of finite abelian coverings of a fixed complex has sub-exponential growth rate.

Keywords
regulator, torsion homology, abelian covering
Mathematical Subject Classification 2010
Primary: 54H20
Secondary: 57Q10, 37B50, 37B10
References
Publication
Received: 4 January 2013
Revised: 22 March 2013
Accepted: 25 March 2013
Published: 2 July 2013
Authors
Thang T Q Lê
School of Mathematics
Georgia Institute of Technology
Atlanta, GA 30332-0160
USA
http://people.math.gatech.edu/~letu/