Knot theory

List of mathematical knots and links

This article contains a list of mathematical knots and links. See also list of knots, list of geometric topology topics. (Wikipedia).

List of mathematical knots and links
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Algebraic topology: Fundamental group of a knot

This lecture is part of an online course on algebraic topology. We calculate the fundamental group of (the complement of) a knot, and give a couple of examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52yxQGxQoxwOtjIEtxE2BWx

From playlist Algebraic topology

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Untangling the beautiful math of KNOTS

Visit ► https://brilliant.org/TreforBazett/ to help you learn STEM topics for free, and the first 200 people will get 20% off an annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor Suppose yo

From playlist Cool Math Series

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Knots and surfaces I | Algebraic Topology | NJ Wildberger

This lecture is an introduction to knot theory. We discuss the origins of the subject, show a few simple knots, talk about the Reidemeister moves, and then some basic invariants, namely minimal crossing number, linking number (for links) and then the Alexander-Conway polynomial. This is p

From playlist Algebraic Topology

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Three Knot-Theoretic Perspectives on Algebra - Zsuzsanna Dancso

Zsuzsanna Dancso University of Toronto; Institute for Advanced Study September 21, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Cut The Knot Action 12!

Link: https://www.geogebra.org/m/a72HSgzU

From playlist Geometry: Challenge Problems

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Knots with cogs

Unofoil with cogs: http://shpws.me/wk7u Trefoil with cogs: http://shpws.me/wk7H Cinquefoil with cogs: http://shpws.me/wk7t

From playlist 3D printing

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Cut-The-Knot Action!

Link: https://www.geogebra.org/m/JEk3MHvc

From playlist Geometry: Challenge Problems

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Cut-The-Knot Action 5!

Link: https://www.geogebra.org/m/xzdy9uRQ

From playlist Geometry: Challenge Problems

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Sir Michael Atiyah - The Mysteries of Space [1991]

The 64th annual Gibbs Lecture was given by Sir Michael Atiyah, Fellow of the Royal Society, of Trinity College, Cambridge, England. At a conference in San Francisco, California in January 1991, he delivered "Physics and the mysteries of space", which was filmed and made available on videot

From playlist Mathematics

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Marc Lackenby - Using machine learning to formulate mathematical conjectures - IPAM at UCLA

Recorded 14 February 2023. Marc Lackenby of the University of Oxford presents "Using machine learning to formulate mathematical conjectures" at IPAM's Machine Assisted Proofs Workshop. Abstract: I will describe how machine learning can be used as a tool for pure mathematicians to formulate

From playlist 2023 Machine Assisted Proofs Workshop

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Graham ELLIS - Computational group theory, cohomology of groups and topological methods 3

The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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How Knots Help Us Understand the World

Knots are everywhere in our daily lives, but a new branch of mathematics is taking things to the next level. Hosted by: Hank Green SciShow has a spinoff podcast! It's called SciShow Tangents. Check it out at http://www.scishowtangents.org ---------- Support SciShow by becoming a patron o

From playlist Uploads

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Cut-The-Knot Action 10!

Link: https://www.geogebra.org/m/cjS3b6Zr

From playlist Geometry: Challenge Problems

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Ellie Baker - Crafts, Math, and the Joy of Turning Things Inside Out - CoM Apr 2021

Infinitely Invertible Infinity paper: http://archive.bridgesmathart.org/2020/bridges2020-83.pdf Invertible Infinity: A Toroidal Fashion Statement paper: http://archive.bridgesmathart.org/2017/bridges2017-49.pdf Trefoil knotted scarf with hidden seams: http://www.ellie-baker.com/shared-st

From playlist Celebration of Mind 2021

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What is a Knot? - Numberphile

First in a series of videos about knots. Here we have Carlo H. Séquin from UC Berkeley. More links & stuff in full description below ↓↓↓ More videos to come at: http://bit.ly/Knot-a-Phile Edit and animation by Pete McPartlan. Film and interview by Brady Haran With thanks to Rob Scharein

From playlist Carlo Séquin on Numberphile

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Cut-The-Knot Action 4!

Link: https://www.geogebra.org/m/jUevutzZ

From playlist Geometry: Challenge Problems

Related pages

Carrick mat | Brunnian link | Whitehead link | Stevedore knot (mathematics) | Pretzel link | Borromean rings | List of geometric topology topics | L10a140 link | Knot (mathematics) | Granny knot (mathematics) | Link (knot theory) | (−2,3,7) pretzel knot | Torus knot | Three-twist knot | Figure-eight knot (mathematics) | Hopf link | Heptagram | 62 knot | 63 knot | Pentagram | 74 knot