Morse theory

Circle-valued Morse theory

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).

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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

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Determining where a point is on the unit circle

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From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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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

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Henry Adams and Enrique Alvarado: An introduction to Morse theory

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From playlist Tutorials

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The Morse Complex on Singular Spaces - Graeme Wilkin

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From playlist Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday

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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

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Peter Bubenik - Lecture 3 - TDA: Multiple Parameters

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

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How to find a point on the unit circle given an angle

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From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Irina Gelbukh 2023: The Reeb graph of a smooth function encodes the function class and manifold type

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From playlist Variational Methods in Geometry

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Discrete Morse Theory -- math major seminar.

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From playlist MathMajor Seminar

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Neža Mramor (2/17/21): An application of discrete Morse theory to robot motion planning

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From playlist AATRN 2021

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Find the coordinate point of the given angle

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From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Discrete Morse Theory 2.0 [Ximena Fernández]

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From playlist Tutorial-a-thon 2021 Fall

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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)

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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)

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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)

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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)

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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)

Video thumbnail

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)

Related pages

Seiberg–Witten theory | Morse theory | Mathematics | Morse homology | Critical point (mathematics) | Circle