Minimal surfaces | Geometric topology | 3-manifolds

Heegaard splitting

In the mathematical field of geometric topology, a Heegaard splitting (Danish: [ˈhe̝ˀˌkɒˀ]) is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies. (Wikipedia).

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FHN 3D tip splitting 2

Tip-splitting in the 3D FitzHugh-Nagumo model of reaction-diffusion.

From playlist Ready

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FHN 3D tip splitting

Tip-splitting in the 3D FitzHugh-Nagumo model of reaction-diffusion.

From playlist Ready

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Rearrange a series

In this video, I define what it means to rearrange (or reshuffle) a series and show that if a series converges absolutely, then any rearrangement of the series converges to the same limit. Interesting Consequence: https://youtu.be/Mw7ocynGVmw Series Playlist: https://www.youtube.com/play

From playlist Series

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FHN 3D tip-splitting - rotation around the final frame

A visualisation of the 3D patttern resulting from FHN tip-splitting inside a cube. Rendered with Blender using ambient occlusion. Reaction-diffusion by the open-source program: http://code.google.com/p/reaction-diffusion/

From playlist Ready

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Hopf Fibration 1

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/1mUo

From playlist 3D printing

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Physics - Optics: Single Slit Diffraction (7 of 15) Electric Field Amplitude = ?

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the general equation of the electric field amplitude caused by the diffraction. Next video in series: http://youtu.be/9b4HYt6F53Y

From playlist PHYSICS 61 DIFFRACTION OF LIGHT

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Determine the values of two angles that lie on a lie with a third angle

👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

From playlist Angle Relationships From a Figure

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Symplectic Instanton Homology of Knots and Links in 3-manifolds - David White

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Symplectic Instanton Homology of Knots and Links in 3-manifolds Speaker: David White Affiliation: North Carolina State University Date: February 10, 2023 Powerful homology invariants of knots in 3-manifolds

From playlist Mathematics

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A Heegaard Floer analog of algebraic torsion - Cagatay Kutluhan

Princeton/IAS Symplectic Geometry Seminar Topic: A Heegaard Floer analog of algebraic torsion Speaker: Cagatay Kutluhan Date: Thursday, April 21 The dichotomy between overtwisted and tight contact structures has been central to the classification of contact structures in dimension 3.

From playlist Mathematics

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Double Pointed Tangle Floer Homology

Speakers Joseph Freund Abhishek Kodumagulla Max Krawczyk Bharatha Rankothge Topics discussed Knots (Invariants and Homology, From Knots to Grids) Elementary Tangles (Heegaard Diagram, Grid States) Rectangles and Half-Strips The Algebraic Structures Associated to a Heegaard Diagram (The

From playlist 2018 Summer REU Presentations

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Knot surgery and Heegaard Floer homology - Jennifer Hom

Members' Seminar Topic: Knot surgery and Heegaard Floer homology Speaker: Jennifer Hom Date: Monday, April 4 One way to construct new 3-manifolds is by surgery on a knot in the 3-sphere; that is, we remove a neighborhood of a knot, and reglue it in a different way. What 3-manifolds ca

From playlist Mathematics

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Computations of Heegaard Floer Homologies - Andras Stipsicz

Computations of Heegaard Floer Homologies Andras Stipsicz Renyi Institute of Mathematics, Hungarian Academy of Sciences April 9, 2012 Heegaard Floer homology groups were recently introduced by Ozsvath and Szabo to study properties of 3-manifolds and knots in them. The definition of the inv

From playlist Members Seminar

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Interwoven Bagels

A brief glimpse into a world of math beyond it’s number-crunching facade. Here we discuss the construction of a Heegaard splitting of the 3-torus. Full disclosure: This is my submission for the Summer of Math Exposition (SoME1) by 3Blue1Brown’s Grant Sanderson. Thank you, Grant, for the k

From playlist Summer of Math Exposition Youtube Videos

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Robert Lipshitz - Computing involutive HF-hat

June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Hendricks-Manolescu's "involutive Heegaard Floer homology" is a variant of Heegaard Floer homology which capitalizes on the conjugation action on spin^

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

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Dijkstra vs Bi-directional Dijkstra Progress - Rectangular and Hexagonal Grid #dijkstra

Comparative progress of classical and bi-directional Dijkstra on rectangular and hexagonal grids. Still snapshots will be available at the following link: http://wp.me/p1mKpD-co #dijkstra #dijkstrasalgorithm #graphalgorithm #python #algorithm #visualalgorithm #computerscience 0:00 No

From playlist Electromagnetic Animations

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Hitler gets a Haircut.

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From playlist Interviews and Shows

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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

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Kristof Huszar: On the Pathwidth of Hyperbolic 3-Manifolds

Kristof Huszar, Inria Sophia Antipolis - Mediterranee, France Title: On the Pathwidth of Hyperbolic 3-Manifolds Abstract: In recent years there has been an emergence of fixed-parameter tractable (FPT) algorithms that efficiently solve hard problems for triangulated 3-manifolds as soon as t

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Anderson Vera - A double Johnson filtration for the mapping class group

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Anderson Vera, Pohang University of Science and Technology (POSTECH - BK21 FOUR Mathematical Sciences Division) Title: A double Johnson filtration for the mapping class group and the Goeritz group of the sphere Abstract: I

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Dee Zee Logo Intro

A quick animation of the Dee Zee Manufacturing logo being created. I created this with Cinema 4D and Adobe After Effects.

From playlist Motion Design Portfolio

Related pages

Handle decompositions of 3-manifolds | Homotopy | Homeomorphism | Heegaard splitting | 3-manifold | Torus bundle | Handlebody | Jordan curve theorem | Geometrization conjecture | Manifold decomposition | Boundary (topology) | Torus | Connected sum | Geometric topology | Minimal surface | Mathematics | Floer homology | Compression body | Clifford torus | Cartesian product | Edwin E. Moise | Seifert fiber space | Lens space | Coset | Mapping class group | Circle