Latest Articles for Topology

A deep dive into the implications of Gromov and Sormani's conjecture.

An analysis of essential curves on genus one Seifert surfaces and their knot properties.

Examining the significance of k-metrics in mathematics and computer science.

Exploring increasing subsequences and their connections within permutations and permutons.

Study of vanishing theorems for vector bundles on Kähler manifolds.

Explore the unique properties and applications of CAT spaces in mathematics.

Researchers explore unique properties of hyperbolic non-Abelian semimetals and their implications.

A look into the geometry and properties of -bic hypersurfaces and their Fano schemes.

Exploring the connections between binary operations and topological structures.

A deep dive into surfaces and their mathematical properties.

Exploring the connections between geometry and Riemann surfaces.

Examining the colored Jones polynomial's growth related to knots and the Chern-Simons invariant.

A look into the Torelli group and its significance in surface mathematics.

Discoveries of exotic shapes deepen our grasp of geometry.

This article examines key mathematical spaces and their interrelations.

Explore the concept of ideals and their impact on various mathematical fields.

An overview of Legendrian structures and their role in topology research.

Research links Ramsey cardinals to proven aspects of Galvin's conjecture in set theory.

A look into the connection between W-types and formal topology in mathematics.

Research on edge crossings in topological graphs reveals important structural insights.

Analysis of configuration spaces and their homology involving odd prime surfaces.

A study on classifying three-component link maps in four-dimensional space.

A look at tautological rings and their role in mathematics.

This note explores how curves reveal the relationships between surface covers.

A look into moduli spaces, parabolic bundles, and their mathematical significance.

An exploration of geometric shapes defined by polynomial equations and their complexities.

A study on shapes with constant mean curvature, focusing on singular points.

Explore the key concepts and importance of choice principles in mathematical theory.

A new algorithm improves the estimation of homology from noisy data points.

Study reveals fixed points in Steinberg group actions on Banach spaces.

This study connects Floer cohomology and indicator functions within symplectic manifolds.

A study of boundaries in unbounded Fatou components of transcendental entire functions.

Discover the Heawood graph's role in map coloring and its mathematical implications.

A new approach enhances machine learning data representations through topological methods.

Learn about chiral polytopes and their fascinating properties.

Investigating dense orbits in groups with infinitely many connected components.

This article analyzes the Simple Loop Conjecture and its validity across various representations.

A look into four-manifolds and their unique properties.

A look into mapping class groups and their impact on surfaces.

A look into the Kauffman bracket skein module and its applications in knot theory.