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This is a survey on Reidemeister torsion for hyperbolic three-manifolds of finite volume.
Über die Torsion einer Überdeckung
Wolfgang Franz · 1935
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Homotopieringe und Linsenräume
Kurt Reidemeister · 1935
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Torsionsideale, Torsionsklassen und Torsion
Wolfgang Franz · 1936
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Two complexes which are homeomorphic but combinatorially distinct
John Milnor · 1961
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A duality theorem for Reidemeister torsion
John Milnor · 1962
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Remarks on the cohomology of groups
André Weil · 1964
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On the first cohomology of discrete subgroups of semisimple Lie groups
M. S. Raghunathan · 1965
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Whitehead torsion
J. Milnor · 1966
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Darstellungen von Knotengruppen
Gerhard Burde · 1967
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Torsion et type simple d’homotopie
G. de Rham, S. Maumary, and M. A. Kervaire · 1967
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Introduction aux polynômes d’un nœud
Georges de Rham · 1967
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Infinite cyclic coverings
John W. Milnor · 1968
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A course in simple-homotopy theory
Marshall M. Cohen · 1973
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Topological invariance of Whitehead torsion
T. A. Chapman · 1974
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Algebraic geometry
Robin Hartshorne · 1977
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Analytic torsion and R-torsion of Riemannian manifolds
Werner Müller · 1978
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Analytic torsion and the heat equation
Jeff Cheeger · 1979
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Three-dimensional manifolds, Kleinian groups and hyperbolic geometry
William P. Thurston · 1982
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Varieties of group representations and splittings of
Marc Culler and Peter B. Shalen · 1983
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The symplectic nature of fundamental groups of surfaces
William M. Goldman · 1984
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Varieties of representations of finitely generated groups
Alexander Lubotzky and Andy R. Magid · 1985
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A remark on Raghunathan’s vanishing theorem
John J. Millson · 1985
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Volumes of hyperbolic three-manifolds
Walter D. Neumann and Don Zagier · 1985
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Lifting representations to covering groups
Marc Culler · 1986
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Analytic torsion and closed geodesics on hyperbolic manifolds
David Fried · 1986
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Invariant functions on Lie groups and Hamiltonian flows of surface group representations
William M. Goldman · 1986
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Reidemeister torsion in knot theory
V. G. Turaev · 1986
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Mutation and volumes of knots in
Daniel Ruberman · 1987
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Invariant theory
È. B. Vinberg and V. L. Popov · 1989
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Quantum field theory and the Jones polynomial
Edward Witten · 1989
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Perturbative expansion of Chern-Simons theory with noncompact gauge group
Dror Bar-Natan and Edward Witten · 1991
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On quantum gauge theories in two dimensions
Edward Witten · 1991
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Reidemeister torsion, spectral sequences, and Brieskorn spheres
Daniel S. Freed · 1992
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Notes sur l’invariant de Casson des sphères d’homologie de dimension trois
L. Guillou and A. Marin · 1992
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Combinatorics of triangulations and the Chern-Simons invariant for hyperbolic
Walter D. Neumann · 1992
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Analytic torsion and
Werner Müller · 1993
Earlier work this paper cites.
Deformations of representations of discrete subgroups of
Michael Kapovich · 1994
Cited alongside, same era.
Reidemeister torsion of Seifert fibered spaces for
Teruaki Kitano · 1994
Cited alongside, same era.
Reidemeister torsion of the figure-eight knot exterior for
Teruaki Kitano · 1994
Cited alongside, same era.
Twisted Alexander polynomial for finitely presentable groups
Masaaki Wada · 1994
Cited alongside, same era.
Reidemeister torsion of Seifert fibered spaces for
Teruaki Kitano · 1996
Cited alongside, same era.
Twisted Alexander polynomial and Reidemeister torsion
Teruaki Kitano · 1996
Cited alongside, same era.
The hyperbolic volume of knots from the quantum dilogarithm
Behavior of knot invariants under genus 2 mutation
Nathan M. Dunfield, Stavros Garoufalidis, Alexander Shumakovitch, and Morwen Thistlethwaite · 2010
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Quantum field theory and the volume conjecture
Tudor Dimofte and Sergei Gukov · 2011
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A survey of twisted Alexander polynomials
Stefan Friedl and Stefano Vidussi · 2011
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Infinitesimal projective rigidity under Dehn filling
Michael Heusener and Joan Porti · 2011
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Representations and the colored Jones polynomial of a torus knot
Kazuhiro Hikami and Hitoshi Murakami · 2011
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An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
Gwénaël Massuyeau · 2011
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R. M. Kashaev · 1997
Cited alongside, same era.
Torsion de Reidemeister pour les variétés hyperboliques
Joan Porti · 1997
Cited alongside, same era.
Three-dimensional geometry and topology. Vol. 1
William P. Thurston · 1997
Cited alongside, same era.
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups
Michael Kapovich · 1998
Cited alongside, same era.
Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
Paul Kirk and Charles Livingston · 1999
Cited alongside, same era.
Espace des représentations du groupe d’un nœud classique dans un groupe de Lie
Leila Ben Abdelghani · 2000
Cited alongside, same era.
On the growth of
M. Abert, N. Bergeron, I. Biringer, T. Gelander, N. Nikolov, J. Raimbault, and I. Samet · 2012
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The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Jérôme Dubois and Yoshikazu Yamaguchi · 2012
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Twisted Alexander polynomials of hyperbolic knots
Nathan M. Dunfield, Stefan Friedl, and Nicholas Jackson · 2012
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Local coordinates for
Pere Menal-Ferrer and Joan Porti · 2012
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Mutation and
Pere Menal-Ferrer and Joan Porti · 2012
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Twisted cohomology for hyperbolic three manifolds
Pere Menal-Ferrer and Joan Porti · 2012
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The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds
Werner Müller · 2012
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Exponential growth of torsion in abelian coverings
Jean Raimbault · 2012
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On a volume element of a Hitchin component
Yaşar Sözen · 2012
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Symplectic chain complex and Reidemeister torsion of compact manifolds
Yaşar Sözen · 2012
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A surgery formula for the asymptotics of the higher dimensional Reidemeister torsion and Seifert fibered spaces
Y. Yamaguchi · 2012
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The asymptotic growth of torsion homology for arithmetic groups
Nicolas Bergeron and Akshay Venkatesh · 2013
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The quantum content of the gluing equations
Tudor Dimofte and Stavros Garoufalidis · 2013
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The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot
Hitoshi Murakami · 2013
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Higher even dimensional Reidemeister torsion for torus knot exteriors
Yoshikazu Yamaguchi · 2013
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Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
Pere Menal-Ferrer and Joan Porti · 2014
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The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume
Werner Müller and Jonathan Pfaff · 2014
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The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume
Werner Müller and Jonathan Pfaff · 2014
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The asymptotic behavior of the Reidemeister torsion for Seifert manifolds and PSL(2;R)-representations of Fuchsian groups
Y. Yamaguchi · 2014
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Certifying the Thurston norm via SL(2, C)-twisted homology
I. Agol and N. M. Dunfield · 2015
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Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds
A. Casella, F. Luo, and S. Tillmann · 2015
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The SL(3,C)-character variety of the figure eight knot
M. Heusener, V. Munoz, and J. Porti · 2015
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Reidemeister torsion of a 3-manifold obtained by a Dehn-surgery along the figure-eight knot
T. Kitano · 2015
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Torsion functions on moduli spaces in view of the cluster algebra
Takahiro Kitayama and Yuji Terashima · 2015
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On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots
Tomotada Ohtsuki and Toshie Takata · 2015
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Reidemeister torsion and Dehn surgery on twist knots
A. T. Tran · 2015
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Rationality of the
Jerome Dubois and Stavros Garoufalidis · 2016
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Geometry of the
Vicente Muñoz and Joan Porti · 2016
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Twisted Alexander polynomials, character varieties and Reidemeister torsions of double branched covers
Yoshikazu Yamaguchi · 2016
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