Explore the intriguing properties and classifications of Legendrian links.
― 5 min read
Mathematics - Geometric Topology
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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
This article explores the role of chirality in molecular structures and knots.
― 5 min read
An analysis of essential curves on genus one Seifert surfaces and their knot properties.
― 5 min read
A deep dive into surfaces and their mathematical properties.
― 5 min read
Exploring the connections between geometry and Riemann surfaces.
― 5 min read
Examining the colored Jones polynomial's growth related to knots and the Chern-Simons invariant.
― 6 min read
A look into the Torelli group and its significance in surface mathematics.
― 6 min read
An overview of Legendrian structures and their role in topology research.
― 5 min read
Exploring the unique properties and classifications of two-bridge knots.
― 4 min read
An exploration of higher-dimensional knots and their fascinating properties.
― 5 min read
Exploring the link between knots and quantum invariants.
― 5 min read
A study of 2-bridge knots, focusing on genus and crossing numbers.
― 5 min read
A study on classifying three-component link maps in four-dimensional space.
― 4 min read
An overview of twist knots and their related quantum invariants.
― 5 min read
Exploring how modular surfaces relate to arithmetic groups and geodesics.
― 7 min read
A look into unique geometrical shapes and their shared sound properties.
― 4 min read
This note explores how curves reveal the relationships between surface covers.
― 6 min read
An overview of line defects in supersymmetric quantum field theories and their implications.
― 6 min read
This article analyzes the Simple Loop Conjecture and its validity across various representations.
― 5 min read
A look into mapping class groups and their impact on surfaces.
― 5 min read
A look into the Kauffman bracket skein module and its applications in knot theory.
― 8 min read
An overview of contact manifolds and their essential properties in topology.
― 5 min read
Learn how freezing sets influence digital image structure and connectivity.
― 4 min read
An exploration of circle packings and their unique properties in hyperbolic space.
― 6 min read
Explore the unique properties of Legendrian knots and their mathematical significance.
― 4 min read
A look into the role of ribbon graphs and their significance in knot theory.
― 5 min read
Examining the relationship between surfaces and their algebraic structures.
― 7 min read
This article explores the links between surfaces and their properties through curve graphs.
― 5 min read
A look into the properties and types of polyhedra.
― 4 min read
An overview of contact manifolds and their relationship to symplectic structures.
― 5 min read
A look into Magnus subgroups and their role in group theory.
― 5 min read
A look at systole, Morse functions, and their role in surface research.
― 6 min read
Exploring corks' role in studying exotic smooth structures in manifolds.
― 5 min read
Exploring the connections between Lagrangian fillings and Legendrian links in modern mathematics.
― 3 min read
Analyzing the actions of diffeomorphisms on smooth maps across various surfaces.
― 6 min read
A look into the properties and significance of twisted torus knots in knot theory.
― 6 min read
Exploring the Fréchet distance and its impact on paths and graphs.
― 5 min read
An overview of Schwartz functions and their connection to real projective spaces.
― 5 min read