Latest Articles for Topology

Explore how orbifolds shape our understanding of symmetries and defects in physics.

Einstein manifolds reveal insights into geometry and physics through their unique properties.

Discover the quirky behaviors of non-Hermitian systems and their impacts.

An overview of shape theory and its applications in mathematics.

An overview of contact manifolds and their essential properties in topology.

Explore the relationships between finite depth objects and planar algebras.

An exploration of circle packings and their unique properties in hyperbolic space.

Exploring the connection between Fréchet spaces and holomorphic functions in complex analysis.

An exploration of cardinal characteristics and their significance in generalized Baire spaces.

Explore the unique properties of Legendrian knots and their mathematical significance.

A look into the role of ribbon graphs and their significance in knot theory.

A look at central extensions and their role in group theory and topology.

Exploring the links between knot theory and error-correcting codes.

Examining the relationship between surfaces and their algebraic structures.

This article explores the links between surfaces and their properties through curve graphs.

Exploring Stiefel-Whitney classes and their computation for dihedral group representations.

This article examines the link between automata and mathematical toposes.

An exploration of how polyhedra relate through their fundamental groups.

A look at systole, Morse functions, and their role in surface research.

A structured approach to studying complex mathematical systems.

A look into ideals and cardinal numbers in mathematical structures.

A look into algebraic curves and their unramified covers over fields.

A new method to handle large datasets using Vietoris-Rips persistent homology.

Examining the unique behavior of geodesics on curved surfaces and their implications.

Exploring corks' role in studying exotic smooth structures in manifolds.

Examining conditions for closed geodesics in non-compact Riemannian manifolds.

Exploring the connections between Lagrangian fillings and Legendrian links in modern mathematics.

Analyzing the actions of diffeomorphisms on smooth maps across various surfaces.

A look into the properties and significance of twisted torus knots in knot theory.

Exploring the link between braid groups and character varieties through representation classification.

An overview of semilattices and frames in mathematics and their interconnections.

Examining the role of manifolds with density in mathematics and physics.

An overview of Schwartz functions and their connection to real projective spaces.

A look into the fascinating world of four-dimensional manifolds and their properties.

A study on how grid homology aids in understanding spatial graphs.

Exploring the construction of TQFTs using ribbon categories and their implications.

An overview of arithmetic groups, their properties, and their impact across mathematics.

Exploring the complex structures of higher category theory and their significance in mathematics.

Research on complex shapes that defy standard metrics and their properties.

A look into the connections between simplicial complexes and algebraic structures.