In mathematics, circle-valued Morse theory studies the topology of a smooth manifold by analyzing the critical points of smooth maps from the manifold to the circle, in the framework of Morse homology. It is an important special case of Sergei Novikov's Morse theory of closed one-forms. Michael Hutchings and Yi-Jen Lee have connected it to Reidemeister torsion and Seiberg–Witten theory. (Wikipedia).
Represent the Plane Curve as a Vector Valued Function Circle Example
Represent the Plane Curve as a Vector Valued Function Circle Example If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Larson Calculus Section 12.1 Vector-Valued Functions Solutions
Determining where a point is on the unit circle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Ryan Budney, "Filtrations of smooth manifolds from maps to the plane"
The talk is part of the Workshop Topology of Data in Rome (15-16/09/2022) https://www.mat.uniroma2.it/Eventi/2022/Topoldata/topoldata.php The event was organized in partnership with the Romads Center for Data Science https://www.mat.uniroma2.it/~rds/about.php The Workshop was hosted and
From playlist Workshop: Topology of Data in Rome
Henry Adams and Enrique Alvarado: An introduction to Morse theory
We give an introduction to Morse theory. Given a space equipped with a real-valued function, one can use Morse theory to produce a compact cellular model for that space. Furthermore, the cellular model reflects important properties of the function. We describe CW cell complexes, the Morse
From playlist Tutorials
The Morse Complex on Singular Spaces - Graeme Wilkin
Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday Topic: The Morse Complex on Singular Spaces Speaker: Graeme Wilkin Affiliation: University of York Date: September 17, 2022 Morse theory is a beautiful subject with a long history, which includes sign
From playlist Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday
Path products in projective space - Nancy Hingston
Nancy Hingston The College of New Jersey February 6, 2015 We compute the mod 2 homology of the space of paths in ℂPnCPn with endpoints in ℝPnRPn, and its algebra structure with respect to the Pontryagin-Chas-Sullivan product. Our method combines Morse theory with geometry. Joint work with
From playlist Mathematics
Peter Bubenik - Lecture 3 - TDA: Multiple Parameters
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Peter Bubenik, University of Florida Title: TDA - Multiple Parameters Abstract: The final talk will bring us to the multiparameter setting - a topic of great practical interest and a subject of current research. I will dis
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
How to find a point on the unit circle given an angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Irina Gelbukh 2023: The Reeb graph of a smooth function encodes the function class and manifold type
Title: How the Reeb graph of a smooth function encodes the class of the function and the type of the manifold Abstract: The Reeb graph of a function is a space obtained by contracting connected components of the function's level sets to points. Computer scientists mostly deal with Morse f
From playlist Vietoris-Rips Seminar
Multiplicity One Conjecture in Min-max theory (continued) - Xin Zhou
Variational Methods in Geometry Seminar Topic: Multiplicity One Conjecture in Min-max theory (continued) Speaker: Xin Zhou Affiliation: University of California, Santa Barbara; Member, School of Mathematics Date: March 27, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Discrete Morse Theory -- math major seminar.
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From playlist MathMajor Seminar
Neža Mramor (2/17/21): An application of discrete Morse theory to robot motion planning
Title: An application of discrete Morse theory to robot motion planning Abstract: We will shortly recollect the basics of discrete Morse theory and two of its variants, parametric and fiberwise discrete Morse theory. We will then describe how it can be used to construct a continuous motio
From playlist AATRN 2021
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Discrete Morse Theory 2.0 [Ximena Fernández]
Is there any way to understand the homotopy type of CW-complexes from its combinatorial structure? In this tutorial we explain the main ideas behind discrete Morse theory, and present a refinement of the theory that allows to answer positively the previous question. We apply these results
From playlist Tutorial-a-thon 2021 Fall
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)