Slice knot
A slice knot is a mathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space. (Wikipedia).
A slice knot is a mathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space. (Wikipedia).
Link: https://www.geogebra.org/m/a72HSgzU
From playlist Geometry: Challenge Problems
Link: https://www.geogebra.org/m/xzdy9uRQ
From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
Is the Conway knot slice? (After Lisa Piccirillo)
This is a talk on the recent work by Lisa Piccirillo showing that the Conway know is not a slice knot. We first review the definitions of the Conway know and slice knots, and then give an overview of her proof. The paper on this by Lisa Piccirillo can be found at https://arxiv.org/pdf/1
From playlist Math talks
Charles Stine: The Complexity of Shake Slice Knots
Charles Stine, Brandeis University Title: The Complexity of Shake Slice Knots It is a well studied conjecture that a shake slice knot is in fact slice. Many counterexamples have been given, but most are close to being slice in a technical sense. In this talk, we will give a precise way to
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 š°š©n knot cohomologies. Recording during the thematic meeting "Knotted Embeddings in Dimensions 3 and 4" the February 15, 2017 at the Centre International de Rencontres MathĆ©mat
From playlist Topology
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
On Bennequin Type Inequality for Symplectic Caps of (S3,Ī¾std). - Anubhav Mukherjee
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: On Bennequin Type Inequality for Symplectic Caps of (S3,Ī¾std) Speaker: Anubhav Mukherjee Affiliation: Princeton University Date: March 06, 2023 In this talk I will discuss a Bennequin type inequality for symplectic caps
From playlist Mathematics
2020's Biggest Breakthroughs in Math and Computer Science
For mathematicians and computer scientists, 2020 was full of discipline-spanning discoveries and celebrations of creativity. We'd like to take a moment to recognize some of these achievements. 1. A landmark proof simply titled āMIP* = RE" establishes that quantum computers calculating wit
From playlist Discoveries
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)āg4(Kn) [is less than] C for some constant C for i
From playlist Topology
Heegaard Floer homology and the knot concordance group - Jennifer Hom
Short Talks by Postdoctoral Members Jennifer Hom - September 22, 2015 http://www.math.ias.edu/calendar/event/88184/1442946600/1442947500 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
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
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
Link: https://www.geogebra.org/m/ZGj7Vqtx
From playlist Geometry: Challenge Problems