scholarly journals A spherical CR structure on the complement of the figure eight knot with discrete holonomy

2008 ◽  
Vol 79 (1) ◽  
pp. 69-110 ◽  
Author(s):  
E. Falbel
Keyword(s):  
Cr Structure ◽  
Figure Eight Knot

scholarly journals HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

2012 ◽  
Vol 2012 (7) ◽  
Author(s):  
H. Itoyama ◽  
A. Mironov ◽  
A. Morozov ◽  
And. Morozov
Keyword(s):  
Figure Eight Knot

STATIONARY DISCS AND GEOMETRY OF CR MANIFOLDS OF CODIMENSION TWO

2001 ◽  
Vol 12 (08) ◽  
pp. 877-890 ◽  
Author(s):  
A. SUKHOV ◽  
A. TUMANOV
Keyword(s):  
Contact Structure ◽  
Cr Manifolds ◽  
Codimension Two ◽  
Strictly Convex ◽  
Cr Structure ◽  
Conormal Bundle ◽  
Convex Hypersurfaces

We give a construction of stationary discs and the indicatrix for manifolds of higher codimension which is a partial analog of L. Lempert's theory of stationary discs for strictly convex hypersurfaces. This leads to new invariants of the CR structure in higher codimension linked with the contact structure of the conormal bundle.

scholarly journals Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds

2017 ◽  
Vol 10 (01) ◽  
pp. 1-25
Author(s):  
Stavros Garoufalidis ◽  
Alan W. Reid
Keyword(s):  
Discrete Spectrum ◽  
Eisenstein Series ◽  
Finite Volume ◽  
Finite Covers ◽  
Figure Eight Knot ◽  
Complex Length

We construct infinitely many examples of pairs of isospectral but non-isometric [Formula: see text]-cusped hyperbolic [Formula: see text]-manifolds. These examples have infinite discrete spectrum and the same Eisenstein series. Our constructions are based on an application of Sunada’s method in the cusped setting, and so in addition our pairs are finite covers of the same degree of a 1-cusped hyperbolic 3-orbifold (indeed manifold) and also have the same complex length spectra. Finally we prove that any finite volume hyperbolic 3-manifold isospectral to the figure-eight knot complement is homeomorphic to the figure-eight knot complement.

scholarly journals Volumes and Degeneration of Cone-structures on the Figure-eight Knot

2006 ◽  
Vol 29 (2) ◽  
pp. 445-464 ◽  
Author(s):  
Alexander MEDNYKH ◽  
Alexey RASSKAZOV
Keyword(s):  
Figure Eight Knot

scholarly journals Profinite Rigidity, Fibering, and the Figure-Eight Knot

What's Next? ◽  
2020 ◽  
pp. 45-64
Author(s):  
Martin R. Bridson ◽  
Alan W. Reid
Keyword(s):  
Figure Eight Knot

scholarly journals On coverings of figure eight knot surgeries

1991 ◽  
Vol 150 (2) ◽  
pp. 215-228 ◽  
Author(s):  
Mark Baker
Keyword(s):  
Figure Eight Knot
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