scholarly journals Efficient triangulations and boundary slopes

2021 ◽  
pp. 107689
Author(s):  
Birch Bryant ◽  
William Jaco ◽  
J. Hyam Rubinstein
Keyword(s):  
Boundary Slopes

scholarly journals ROOTS OF UNITY ASSOCIATED TO STRONGLY DETECTED BOUNDARY SLOPES

2009 ◽  
Vol 18 (12) ◽  
pp. 1623-1636
Author(s):  
SRIKANTH KUPPUM ◽  
XINGRU ZHANG
Keyword(s):  
Roots Of Unity ◽  
Root Of Unity ◽  
Boundary Slope ◽  
Boundary Slopes

We found a family of infinitely many hyperbolic knot manifolds each member of which has a strongly detected boundary slope with associated root of unity of order 4.

scholarly journals Computing boundary slopes of 2-bridge links

2007 ◽  
Vol 76 (259) ◽  
pp. 1521-1546 ◽  
Author(s):  
Jim Hoste ◽  
Patrick D. Shanahan
Keyword(s):  
Boundary Slopes

IMMERSED AND VIRTUALLY EMBEDDED BOUNDARY SLOPES IN ARITHMETIC MANIFOLDS

2004 ◽  
Vol 13 (05) ◽  
pp. 587-596
Author(s):  
ANNEKE BART
Keyword(s):  
Finite Index ◽  
Hyperbolic Manifold ◽  
Totally Geodesic ◽  
Boundary Slope ◽  
Embedded Boundary ◽  
Boundary Slopes

Given a Bianchi Group [Formula: see text], and a Hyperbolic manifold M, where π1(M) is of finite index in Γd, we show that all boundary slopes are realized as the boundary slope of an immersed totally geodesic surface and hence are virtually embedded boundary slopes.

scholarly journals Immersed, virtually-embedded, boundary slopes

2000 ◽  
Vol 102 (3) ◽  
pp. 239-252 ◽  
Author(s):  
M. Baker ◽  
D. Cooper
Keyword(s):  
Embedded Boundary ◽  
Boundary Slopes

scholarly journals Boundary slopes (nearly) bound cyclic slopes

2005 ◽  
Vol 5 (2) ◽  
pp. 741-750
Author(s):  
Thomas W Mattman
Keyword(s):  
Boundary Slopes

A slope conjecture for links

2015 ◽  
Vol 24 (14) ◽  
pp. 1550077
Author(s):  
R. van der Veen
Keyword(s):  
Jones Polynomial ◽  
Colored Jones Polynomial ◽  
Essential Surfaces ◽  
Torus Links ◽  
Boundary Slopes

The slope conjecture [S. Garoufalidis, The degree of a q-holonomic sequence is a quadratic quasi-polynomial, Electron. J. Combin. 18 (2011) 4–27] gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In this paper, we propose a generalization of the slope conjecture to links. We prove the conjecture for all alternating or more generally adequate links. We also verify the conjecture for torus links.

scholarly journals Boundary slopes of knots

1999 ◽  
Vol 74 (4) ◽  
pp. 530-547 ◽  
Author(s):  
M. Culler ◽  
P. B. Shalen
Keyword(s):  
Boundary Slopes

scholarly journals Universality in phase boundary slopes for spin glasses on self-dual lattices

2011 ◽  
Vol 2011 (02) ◽  
pp. P02004 ◽  
Author(s):  
Masayuki Ohzeki ◽  
Creighton K Thomas ◽  
Helmut G Katzgraber ◽  
H Bombin ◽  
M A Martin-Delgado
Keyword(s):  
Phase Boundary ◽  
Spin Glasses ◽  
Boundary Slopes
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