Geometric topology | Fiber bundles | 3-manifolds
A Seifert fiber space is a 3-manifold together with a decomposition as a disjoint union of circles. In other words, it is a -bundle (circle bundle) over a 2-dimensional orbifold. Many 3-manifolds are Seifert fiber spaces, and they account for all compact oriented manifolds in 6 of the 8 Thurston geometries of the geometrization conjecture. (Wikipedia).
Dual spaces and linear functionals In this video, I introduce the concept of a dual space, which is the analog of a "shadow world" version, but for vector spaces. I also give some examples of linear and non-linear functionals. This seems like an innocent topic, but it has a huge number of
From playlist Dual Spaces
This is the second video of a series from the Worldwide Center of Mathematics explaining the basics of vectors. This video deals with vectors in the 2D and 3D planes, and shows the geometric interpretations of some vector operations. For more math videos, visit our channel or go to www.cen
From playlist Basics: Vectors
Duncan McCoy - Lattices, embeddings and Seifert fibered spaces
June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Every Seifert fibered homology sphere bounds a definite star-shaped plumbing. In 1985 Neumann and Zagier used the R-invariant of Fintushel and Stern to
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
Now we know about vector spaces, so it's time to learn how to form something called a basis for that vector space. This is a set of linearly independent vectors that can be used as building blocks to make any other vector in the space. Let's take a closer look at this, as well as the dimen
From playlist Mathematics (All Of It)
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
Topologically Interesting Felt – Gwen Laura Fisher
A roving of sheep’s wool is a bundle of fiber that has been washed and combed, and perhaps dyed, but not yet spun into yarn. Roving can be turned into soft and flexible felt objects of many varied forms and functions, including topologically interesting surfaces. Examples include Möbius ba
From playlist G4G12 Videos
Homology Smale-Barden manifolds with K-contact and Sasakian structures by Aleksy Tralle
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
B03 Fluid shifts here on earth
The difference between the erect and supine positions here on earth.
From playlist Space Medicine
Cylindrical contact homology of links of simple singularities - Leo Digiosia
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Title: Cylindrical contact homology of links of simple singularities Speaker: Leo Digiosia Affiliation: Rice Date: October 8, 2021 Abstract: In this talk we consider the links of simple singularities, which are contactomop
From playlist Mathematics
Covariant Phase Space with Boundaries - Daniel Harlow
More videos on http://video.ias.edu
From playlist Natural Sciences
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
http://www.shapeways.com/shops/henryseg?section=Surfaces These are joint work with Saul Schleimer.
From playlist 3D printing
Dual basis definition and proof that it's a basis In this video, given a basis beta of a vector space V, I define the dual basis beta* of V*, and show that it's indeed a basis. We'll see many more applications of this concept later on, but this video already shows that it's straightforwar
From playlist Dual Spaces
Symplectic fillings and star surgery - Laura Starkston
Laura Starkston University of Texas, Austin September 25, 2014 Although the existence of a symplectic filling is well-understood for many contact 3-manifolds, complete classifications of all symplectic fillings of a particular contact manifold are more rare. Relying on a recognition theor
From playlist Mathematics
After our introduction to matrices and vectors and our first deeper dive into matrices, it is time for us to start the deeper dive into vectors. Vector spaces can be vectors, matrices, and even function. In this video I talk about vector spaces, subspaces, and the porperties of vector sp
From playlist Introducing linear algebra
Lorenzo Foscolo: ALC manifolds with exceptional holonomy
We will describe the construction of complete non-compact Ricci-flat manifolds of dimension 7 and 8 with holonomy $G_{2}$ and Spin(7) respectively. The examples we consider all have non-maximal volume growth and an asymptotic geometry, so-called ALC geometry, that generalises to higher dim
From playlist Geometry
Irving Dai - Homology cobordism and local equivalence between plumbed manifolds
June 22, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Recently constructed by Hendricks and Manolescu, involutive Heegaard Floer homology provides several new tools for studying the three-dimensional homol
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
"Illustrating Geometry" exhibition: Artist's talk by Saul Schleimer: "Minimal and Seifert Surfaces"
Slides: http://homepages.warwick.ac.uk/~masgar/Talks/minimal_and_seifert_surfaces.pdf This video is also available at the Simons Center website, at http://scgp.stonybrook.edu/archives/11540 Thanks to Josh Klein for filming and editing.
From playlist 3D printing