Latest Articles for Topology

A look into the dynamics of non-singular flows and their classification in 3-manifolds.

Discover how deloopings simplify group representations in homotopy type theory.

An overview of the process for changing weak groupoids to strict groupoids.

Exploring digraphs, their homology, and key algebraic structures.

Examining stable relationships between geometric implications and topological spaces.

A clear overview of fans and their significance in geometry and algebra.

An overview of harmonic maps and their significance in geometry and topology.

This paper examines Bieri-Eckmann duality in groups and spaces.

A look into shapes that cover areas with minimal boundaries.

Examining the unique characteristics of stable quadrangulations and spheres in mathematics.

This article examines the intriguing features of non-Hermitian systems.

Exploring methods to classify four-dimensional shapes based on their properties and relationships.

A look into the mathematical structure of adic spaces and their significance.

A look into instantons and their significance in geometry and topology.

A look into category theory, additive and abelian categories, and their significance.

Exploring separability and second-countability in definable topological spaces.

This article explores the significance of compactness in o-minimal structures and its applications.

A look into the Casson-Sullivan invariant and its role in classifying shapes.

This study reveals complex behaviors of vector bundles through noncommutative resolutions.

A look into the fascinating world of satellite knots and their properties.

An overview of quaternion functions addressing Cousin problems in symmetric domains.

A study of the figure-eight knot and its unique properties.

Exploring the relationship between bistellar moves and manifolds through new algebraic structures.

An overview of fusion categories and their role in mathematics and physics.

A deep look into sets, mappings, and their roles in mathematics.

Learn about hyperbolic surfaces and their unique properties through maximal representations.

A look at orbits and their significance in algebraic geometry.

Exploring the significance and applications of link Floer homology in mathematics.

An overview of categories, cofibrations, fibrations, and their significance in mathematics.

An overview of monoids, their properties, and the importance of group completion.

A look into the connections between K3 surfaces and their Tyurin degenerations.

Study reveals key properties of area functionals in spaces with lower Ricci bounds.

Explore the unique characteristics of links in mathematics.

An overview of minimal surfaces, their energy, and recent developments in the field.

A look into minimal finite models and their significance in topology.

Examining the connection between Higgs bundles, Painleve equations, and their implications.

A look at the relationship between algebraic K-theory and mathematical foams.

Exploring the interplay of quiver Hecke algebras and Floer homology in modern mathematics.

Exploring the connections between handlebodies and duality groups in topology.

A look at the Fukaya category and its relevance to geometric surfaces.