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We study a twisted Alexander polynomial naturally associated to a hyperbolic knot in an integer homology 3-sphere via a lift of the holonomy representation to SL(2, C).
Free differential calculus. I. Derivation in the free group ring
R. H. Fox · 1953
Earlier work this paper cites.
Free differential calculus. II. The isomorphism problem of groups
R. H. Fox · 1954
Earlier work this paper cites.
On the genus of the alternating knot. I, II
K. Murasugi · 1958
Earlier work this paper cites.
Genus of alternating link types
R. Crowell · 1959
Earlier work this paper cites.
Introduction to knot theory
R. H. Crowell and R. H. Fox · 1963
Earlier work this paper cites.
On a certain subgroup of the group of an alternating link
K. Murasugi · 1963
Earlier work this paper cites.
On the first cohomology of discrete subgroups of semisimple Lie groups
M. S. Raghunathan · 1965
Earlier work this paper cites.
Whitehead torsion
J. Milnor · 1966
Earlier work this paper cites.
R R -torsion and the Laplacian on Riemannian manifolds
D. B. Ray and I. M. Singer · 1971
Earlier work this paper cites.
Analytic torsion and Reidemeister torsion
J. Cheeger · 1977
Earlier work this paper cites.
Analytic torsion and R R -torsion of Riemannian manifolds
W. Müller · 1978
Earlier work this paper cites.
Algebraic K K -theory of generalized free products. I, II
F. Waldhausen · 1978
Earlier work this paper cites.
Analytic torsion and the heat equation
J. Cheeger · 1979
Earlier work this paper cites.
Varieties of group representations and splittings of 3 3 -manifolds
M. Culler and P. B. Shalen · 1983
Earlier work this paper cites.
Incompressible surfaces in 2 2 -bridge knot complements
A. Hatcher and W. Thurston · 1985
Earlier work this paper cites.
Detecting fibred links in S 3 S^{3}
D. Gabai · 1986
Earlier work this paper cites.
Reidemeister torsion in knot theory
V. G. Turaev · 1986
Earlier work this paper cites.
Dehn surgery on knots
M. Culler, C. M. Gordon, J. Luecke, and P. B. Shalen · 1987
Earlier work this paper cites.
Foliations and the topology of 3 3 -manifolds. III
D. Gabai · 1987
Earlier work this paper cites.
Mutation and volumes of knots in S 3 S^{3}
D. Ruberman · 1987
Earlier work this paper cites.
Cyclic resultants of reciprocal polynomials
D. Fried · 1988
Earlier work this paper cites.
Euler structures, nonsingular vector fields, and Reidemeister-type torsions
V. G. Turaev · 1989
Earlier work this paper cites.
SU ( 2 ) {\rm SU}(2) -representation spaces for two-bridge knot groups
G. Burde · 1990
Earlier work this paper cites.
Arithmetic of hyperbolic manifolds
W. D. Neumann and A. W. Reid · 1992
Earlier work this paper cites.
Twisted Alexander polynomial for finitely presentable groups
M. Wada · 1994
Earlier work this paper cites.
On the arithmetic 2 2 -bridge knots and link orbifolds and a new knot invariant
H. M. Hilden, M. T. Lozano, and J. M. Montesinos-Amilibia · 1995
Earlier work this paper cites.
Remarks on the A A -polynomial of a knot
D. Cooper and D. D. Long · 1996
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Twisted Alexander polynomial and Reidemeister torsion
T. Kitano · 1996
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Torsion de Reidemeister pour les variétés hyperboliques
J. Porti · 1997
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Three-dimensional geometry and topology. Vol. 1
W. P. Thurston · 1997
Cited alongside, same era.
The first 1,701,936 knots
J. Hoste, M. Thistlethwaite, and J. Weeks · 1998
Cited alongside, same era.
A census of cusped hyperbolic 3 3 -manifolds
P. J. Callahan, M. V. Hildebrand, and J. R. Weeks · 1999
Cited alongside, same era.
Knotscape, 1999
J. Hoste and M. Thistlethwaite · 1999
Polynomial recurrences and cyclic resultants
C. J. Hillar and L. Levine · 2007
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Twisted Alexander norms give lower bounds on the Thurston norm
S. Friedl and T. Kim · 2008
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Twisted Alexander polynomials and symplectic structures
S. Friedl and S. Vidussi · 2008
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Twisted Alexander polynomials of twist knots for nonabelian representations
T. Morifuji · 2008
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Regina, a normal surface theory calculator, version 4.6, 2009
B. Burton · 2009
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Multivariable Twisted Alexander Polynomial for hyperbolic three-manifolds with boundary
J. Dubois and Y. Yamaguchi · 2009
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Computing arithmetic invariants of 3-manifolds
D. Coulson, O. A. Goodman, C. D. Hodgson, and W. D. Neumann · 2000
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On the Kinoshita-Terasaka knot and generalised Conway mutation
S. Tillmann · 2000
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Twisted Alexander polynomials detect fibered 3-manifolds
S. Friedl and S. Vidussi · 2001
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Representations of knot groups and twisted Alexander polynomials
X. S. Lin · 2001
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Introduction to combinatorial torsions
V. Turaev · 2001
Cited alongside, same era.
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Normalization of twisted Alexander invariants
T. Kitayama · 2009
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Analytic torsion and cohomology of hyperbolic 3-manifolds
W. Müller · 2009
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Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps
J. Park · 2009
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Private communication, 2009
J. Porti · 2009
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Dynamics of twisted Alexander invariants
D. S. Silver and S. G. Williams · 2009
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Mutation and the colored Jones polynomial
A. Stoimenow and T. Tanaka · 2009
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The asymptotic growth of torsion homology for arithmetic groups
N. Bergeron and A. Venkatesh · 2010
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t3m: a Python 3-manifold library, 2010
M. Culler and N. M. Dunfield · 2010
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Behavior of knot invariants under genus 2 mutation
N. M. Dunfield, S. Garoufalidis, A. Shumakovitch, and M. Thistlethwaite · 2010
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Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds
N. M. Dunfield and D. Ramakrishnan · 2010
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A survey of twisted Alexander polynomials
S. Friedl and S. Vidussi · 2010
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On reciprocality of twisted Alexander invariants
J. A. Hillman, D. S. Silver, and S. G. Williams · 2010
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Evaluations of the twisted Alexander polynomials of 2-bridge knots at ± 1 \pm 1
M. Hirasawa and K. Murasugi · 2010
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Twisted Alexander polynomials and character varieties of 2-bridge knot groups
T. Kim and T. Morifuji · 2010
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Twisted cohomology for hyperbolic three manifolds, Preprint 2010
P. Menal-Ferrer and J. Porti · 2010
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The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds
W. Müller · 2010
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Approximations to the volume of hyperbolic knots
S. Friedl and N. Jackson · 2011
Closest in time.
Poincaré duality and degrees of twisted Alexander polynomials
S. Friedl, T. Kim, and T. Kitayama · 2011
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Mutation and SL(2, ℂ \mathbb{C} )-Reidemeister torsion for hyperbolic knots, Preprint 2011
P. Menal-Ferrer and J. Porti · 2011
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