scholarly journals SURGERY DESCRIPTIONS AND VOLUMES OF BERGE KNOTS II: DESCRIPTIONS ON THE MINIMALLY TWISTED FIVE CHAIN LINK

2008 ◽  
Vol 17 (09) ◽  
pp. 1099-1120 ◽  
Author(s):  
KENNETH L. BAKER
Keyword(s):  
Lens Space ◽  
Chain Link ◽  
Strong Inversion ◽  
Kirby Calculus

Using Kirby calculus, we explicitly pass from Berge's R-R descriptions of ten families of knots with lens space surgeries to surgery descriptions on the minimally twisted five chain link (MT5C). Since the MT5C admits a strong inversion, we also give the corresponding tangle descriptions.

BERGE'S KNOTS IN THE FIBER SURFACES OF GENUS ONE, LENS SPACE AND FRAMED LINKS

2005 ◽  
Vol 14 (02) ◽  
pp. 177-188 ◽  
Author(s):  
YUICHI YAMADA
Keyword(s):  
Knot Theory ◽  
Three Dimensional ◽  
Lens Space ◽  
Lens Spaces ◽  
Dimensional Sphere ◽  
View Point ◽  
Complex Curves ◽  
Resolution Of Singularity ◽  
Kirby Calculus ◽  
Genus One

In 1990, John Berge described several families of knots in the three-dimensional sphere which have non-trivial Dehn surgeries yielding lens spaces. We study a subfamily of them from the view point of resolution of singularity of complex curves and surfaces, Kirby calculus in topology of four-dimensional manifolds and A'Campo's divide knot theory.

scholarly journals FOUR-DIMENSIONAL MANIFOLDS CONSTRUCTED BY LENS SPACE SURGERIES ALONG TORUS KNOTS

2012 ◽  
Vol 21 (11) ◽  
pp. 1250111 ◽  
Author(s):  
MOTOO TANGE ◽  
YUICHI YAMADA
Keyword(s):  
Lens Space ◽  
Complete List ◽  
Lens Spaces ◽  
Dehn Surgery ◽  
Integral Coefficient ◽  
Torus Knots ◽  
Kirby Calculus ◽  
Simply Connected

A framed knot with an integral coefficient determines a simply-connected 4-manifold by 2-handle attachment. Its boundary is a 3-manifold obtained by Dehn surgery along the framed knot. For a pair of such Dehn surgeries along distinct knots whose results are homeomorphic, it is a natural problem: Determine the closed 4-manifold obtained by pasting the 4-manifolds along their boundaries. We determine the complete list (set) of pairs of integral surgeries along distinct torus knots whose resulting manifolds are orientation preserving/reversing homeomorphic lens spaces, and study the closed 4-manifolds constructed as above. The list consists of five sequences. All framed links and Kirby calculus are indexed by integers. As a bi-product, some sequences of embeddings of lens spaces into the standard 4-manifolds are constructed.

An Analytical Drain Current Model for Dual-material Gate Graded - channel and Dual-oxide Thickness Cylindrical Gate (DMG-GC-DOT) MOSFET

2019 ◽  
Vol 9 (2) ◽  
pp. 291-297
Author(s):  
Hind Jaafar ◽  
Abdellah Aouaj ◽  
Ahmed Bouziane ◽  
Benjamin Iñiguez
Keyword(s):  
Current Model ◽  
Drain Current ◽  
Oxide Thickness ◽  
Subthreshold Current ◽  
The Poisson Equation ◽  
Strong Inversion ◽  
Cylindrical Form ◽  
Silvaco Atlas ◽  
Dual Material ◽  
Good Agreement

Background: A novel Dual Material Gate Graded Channel and Dual Oxide Thickness Cylindrical Gate (DMG-GC-DOT) MOSFET is presented in this paper. Methods: Analytical model of drain current is developed using a quasi-two-dimensional cylindrical form of the Poisson equation and is expressed as a function of the surface potential, which is calculated using the expressions of the current density. Results: Comparison of the analytical results with 3D numerical simulations using Silvaco Atlas - TCAD software presents a good agreement from subthreshold to strong inversion regime and for different bias voltages. Conclusion: Two oxide thicknesses with different permittivity can effectively improve the subthreshold current of DMG-GC-DOT MOSFET.

Handcuffs and Chain Link

2018 ◽  
Author(s):  
BENJAMIN GONZALEZ O’BRIEN
Keyword(s):  
Chain Link

Knots with the Lens Space Surgery

2011 ◽  
Vol 10 (1) ◽  
pp. 561-570
Author(s):  
Alberto Cavicchioli ◽  
Ilaria Telloni
Keyword(s):  
Lens Space
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