Fibered knots and links | Torus knots and links | Algebraic topology
In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of coprime integers p and q. A torus link arises if p and q are not coprime (in which case the number of components is gcd(p, q)). A torus knot is trivial (equivalent to the unknot) if and only if either p or q is equal to 1 or −1. The simplest nontrivial example is the (2,3)-torus knot, also known as the trefoil knot. (Wikipedia).
Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with many rings,and transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2014,AkiraNishihara
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necklace,two way,Torus by Villarceau circles,mobius ball
From playlist Handmade geometric toys
In this video we'll look at how to construct a torus, or trefoil knot. Torus knots are not too hard to understand and they look very cool and can serve as the basis of many cool effects. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.
From playlist ShaderToy Tutorials
Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
Gluing is a good method to construct new topological spaces from known ones. Here a rectangles is glued along the edges to form a torus. Often the fundamental group of the glued object can be calculated from the pieces (here a rectangles) and the glue (here two intersecting circles). Th
From playlist Algebraic Topology
The torus magic is constructed with many rings. It transforms flat,spherical,etc. Farther more you can turn it inside out.
From playlist Handmade geometric toys
Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
Legendrian Torus and Cable Links - Lisa Traynor
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Legendrian Torus and Cable Links Speaker: Lisa Traynor Affiliation: Bryn Mawr College Date: November 22, 2021 Legendrian torus knots were classified by Etnyre and Honda. I will explain the classification of Legendrian toru
From playlist Mathematics
Hyperbolic Knot Theory (Lecture - 2) by Abhijit Champanerkar
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Toroflux paradox: making things (dis)appear with math
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today is all about geometric appearing and vanishing paradoxes and that math that powers them. This vide
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Satellite operations and Legendrian knot theory - John Etnyre
Satellite operations and Legendrian knot theory Augmentations and Legendrians at the IAS Topic: Satellite operations and Legendrian knot theory Speaker: John Etnyre Date: Thursday, February 11 Satellite operations are a common way to create interesting knot types in the smooth category. I
From playlist Mathematics
Colin Adams: Hyperbolic Volumes of Virtual Knots and their Compositions
Colin Adams, Williams College Title: Hyperbolic Volumes of Virtual Knots and their Compositions Hyperbolic Volumes of Virtual Knots and their Compositions\\ \noindent\textbf{Abstract:} Many knots are known to be hyperbolic and therefore have a hyperbolic volume. But composite knots are n
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Andrew Lobb: Quantum sln knot cohomology and the slice genus
Abstract: We will give an overview of the information about the smooth slice genus so far yielded by the quantum 𝔰𝔩n knot cohomologies. Recording during the thematic meeting "Knotted Embeddings in Dimensions 3 and 4" the February 15, 2017 at the Centre International de Rencontres Mathémat
From playlist Topology
András Stipsicz - Upsilon invariants of knots
June 22, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
MAE5790-14 Global bifurcations of cycles
Hopf, saddle-node bifurcation of cycles, SNIPER, and homoclinic bifurcation. Coupled oscillators. Knotted cycles. Quasiperiodicity. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.4, 8.6.
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Buy at http://www.shapeways.com/shops/GeometricToy This object consists of two "Torus Magic".These torus objects are constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,Akira Nishihara
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Jessica Purcell: Structure of hyperbolic manifolds - Lecture 1
Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions
From playlist Topology