Geodesic
Growth of regulators in finite abelian coverings
Lê, Thang T Q1
1School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA
Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2383-2404
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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.

DOI : 10.2140/agt.2013.13.2383
Classification : 54H20, 57Q10, 37B50, 37B10
Keywords: regulator, torsion homology, abelian covering

Lê, Thang T Q  1

1 School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA 
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Lê, Thang T Q. Growth of regulators in finite abelian coverings. Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2383-2404. doi: 10.2140/agt.2013.13.2383

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