Exploring connections between geometric concepts and physical models through Vafa-Witten theory.
― 6 min read
Mathematics - Geometric Topology
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Researchers use deep learning to analyze and predict properties of knots.
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Pell-Abel equations link polynomial functions across various mathematical fields.
― 5 min read
Exploring continuous measures for assessing convexity in shapes and functions.
― 7 min read
Explore the links between mapping tori, surfaces, and homeomorphisms in geometry.
― 6 min read
A look into the complexities of singular points in mixed polynomials.
― 7 min read
A look into Morse-Smale diffeomorphisms and their impact on manifold topology.
― 6 min read
An insight into complex shapes and their relationships in mathematics.
― 6 min read
A guide to free factor complexes and their significance in understanding free groups.
― 6 min read
Study reveals insights into shapes and colors in polygons.
― 5 min read
Exploring the role of invariants in understanding 3-manifolds.
― 4 min read
A look into cyclic and cocyclic objects and their significance in mathematics.
― 6 min read
A look into complex hyperbolic geometry, toroidal compactifications, and Kähler metrics.
― 5 min read
Exploring the role of filling curves in understanding surface geometry.
― 4 min read
Exploring the unique structures and properties of Margulis spacetimes.
― 5 min read
A look into manifolds, links, and the concept of left-orderability in mathematics.
― 5 min read
An overview of Haken manifolds, key theorems, and their implications in topology.
― 7 min read
A look into how points on curves can maximize energy and shape.
― 4 min read
Explore the basics and applications of knot theory in various fields.
― 5 min read
An overview of chainmail links and their significance in mathematics.
― 4 min read
Examining the link between geometry and quantum mechanics through mathematical structures.
― 5 min read
A look into unique shapes and their transformations in geometry.
― 4 min read
This article discusses Dirac operators and their connection to Seiberg-Witten equations.
― 5 min read
A deep dive into complex hyperbolic geometry and its modular group.
― 6 min read
Exploring the link between quantum modular forms and three-dimensional manifolds.
― 5 min read
A look into Legendrian knots and their classification methods in knot theory.
― 6 min read
Explore the unique properties and applications of trihex shapes.
― 5 min read
A look into Coxeter tetrahedra and their role in hyperbolic geometry.
― 5 min read
Explore the properties and implications of complex hyperbolic geometry and reflection groups.
― 7 min read
A look at flex points and their significance in mathematics.
― 5 min read
A clear look at open books and their visual representations with Kirby diagrams.
― 7 min read
Exploring left-orderable fundamental groups of 2-bridge knots through Dehn surgeries.
― 5 min read
Explore the intriguing properties and classifications of Legendrian links.
― 5 min read
This work examines the role of slopes in identifying satellite knots.
― 5 min read
This article explores the mathematical framework behind origami shapes and their properties.
― 4 min read
This paper examines how doodles and blobs interact in specific mathematical spaces.
― 4 min read
Exploring the interplay between link homology, foams, and webs in mathematics.
― 5 min read
Exploring the connections between surfaces and their properties in mathematics.
― 4 min read
Study analyzes relationships between hyperbolic volume and knot complexity metrics.
― 5 min read
An overview of key concepts in topology and their implications.
― 4 min read
A look into how mathematicians study complex shapes and their connections.
― 5 min read