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
What's a knot? Geometry Terms and Definitions
A mathematical definition of a knot. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Mak
From playlist Socratica: The Geometry Glossary Series
Speakers Teresa Brown Mariya Delyakova Lucas Furtado Evan Wickenden Topics discussed Knot definition, Seifert Hypersurfaces, Constructing Seifert Surfaces, Links, The Seifert Matrix, The Alexander Polynomial, Simple (2q-1)Knots, The Genus of a Simple Knot, The Symplectic Group, Classifi
From playlist 2018 Summer REU Presentations
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
This step by step guide demonstrates tying 15 types: 00:36 Overhand 01:22 Square 02:36 Figure Eight 03:40 Bowline, 05:29 Running 06:19 Half, 07:45 Timber, 09:42 Rolling, 10:43 Clove Hitches 11:30 Cat's Paw 12:58 Single, 14:40 Double Sheet or Becket Bends 15:30 Fisherman's, 17:09 Doubl
From playlist How To Tutorials
MegaFavNumbers - 1701936 knots
My contribution to the #MegaFavNumbers project. A brief introduction to mathematical knot theory, and a 19th-century Theory of Everything that didn't quite work out. References: J Hoste, M Thistlethwaite, J Weeks, "The First 1701936 Knots", Mathematical Intelligencer 20.4 (1998) 33-48
From playlist MegaFavNumbers
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/9Wje This is joint work with François Guéritaud and Saul Schleimer.
From playlist 3D printing
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
Do KNOT watch this video! #SoME1
This video is an entry to the 3Blue1Brown, The Summer of Math Exposition, about proving the existence of prime knots and the interesting steps towards the result. Some images produced with SeifertView, Jarke J. van Wijk, Technische Universiteit Eindhoven. Download SeifertView at the link
From playlist Summer of Math Exposition Youtube Videos
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
Lisa Piccirillo - Shake genus and slice genus
June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry An important difference between high dimensional smooth manifolds and smooth 4-manifolds is that in a 4-manifold it is not always possible to represent
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Kimihiko Motegi: L-space knots in twist families and satellite L-space knots
Abstract: Twisting a knot K in S3 along a disjoint unknot c produces a twist family of knots {Kn} indexed by the integers. Comparing the behaviors of the Seifert genus g(Kn) and the slice genus g4(Kn) under twistings, we prove that if g(Kn)−g4(Kn) [is less than] C for some constant C for i
From playlist Topology
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
Spatial refinements and Khovanov homology – Robert Lipshitz & Sucharit Sarkar – ICM2018
Topology Invited Lecture 6.11 Spatial refinements and Khovanov homology Robert Lipshitz & Sucharit Sarkar Abstract: We review the construction and context of a stable homotopy refinement of Khovanov homology. © International Congress of Mathematicians – ICM www.icm2018.org Os direi
From playlist Topology
Rima Chatterjee - Knots and links in overtwisted manifolds
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Rima Chatterjee, Louisiana State University Title: Knots and links in overtwisted manifolds Abstract: Knot theory associated to overtwisted manifolds are less explored. There are two types of knots/links in an overtwisted
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Knots, Virtual Knots and Virtual Knot Cobordism by Louis H. Kauffman
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)
Nicholas Cazet: Surface-link Families with Arbitrarily Large Triple Point Number
Nicholas Cazet, UC Davis Title: Surface-link Families with Arbitrarily Large Triple Point Number Analogous to a classical knot diagram, a surface-knot can be generically projected to 3-space and given crossing information to create a broken sheet diagram. A generic compact surface in 3-spa
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Link: https://www.geogebra.org/m/a72HSgzU
From playlist Geometry: Challenge Problems
Mathematics as Metaphor - Curtis McMullen (Harvard University)
Public lecture
From playlist Mathematics Research Center