We give an upper bound for the growth of homology torsions of finite coverings of irreducible oriented 3-manifolds in terms of the hyperbolic volume.
Nous donnons une limite supérieure pour la croissance des torsions homologiques de revêtements finis de 3-variétés orientées irréductibles en termes du volume hyperbolique.
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Accepted:
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Keywords: Homology torsion, covering, Fuglede-Kadison determinant, hyperbolic volume
Mot clés : torsion homologique, revêtements, déterminant de Fuglede-Kadison, volume hyperbolique
@article{AIF_2018__68_2_611_0, author = {L\^e, Thang T. Q.}, title = {Growth of homology torsion in finite coverings and hyperbolic volume}, journal = {Annales de l'Institut Fourier}, pages = {611--645}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {2}, year = {2018}, doi = {10.5802/aif.3173}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.3173/} }
TY - JOUR AU - Lê, Thang T. Q. TI - Growth of homology torsion in finite coverings and hyperbolic volume JO - Annales de l'Institut Fourier PY - 2018 SP - 611 EP - 645 VL - 68 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.3173/ DO - 10.5802/aif.3173 LA - en ID - AIF_2018__68_2_611_0 ER -
%0 Journal Article %A Lê, Thang T. Q. %T Growth of homology torsion in finite coverings and hyperbolic volume %J Annales de l'Institut Fourier %D 2018 %P 611-645 %V 68 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.3173/ %R 10.5802/aif.3173 %G en %F AIF_2018__68_2_611_0
Lê, Thang T. Q. Growth of homology torsion in finite coverings and hyperbolic volume. Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 611-645. doi : 10.5802/aif.3173. http://archive.numdam.org/articles/10.5802/aif.3173/
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