Latest Articles for Topology

Examining the interplay of quantum representations and mapping class groups through kernels and Dehn twists.

An overview of contact geometry, highlighting its structures and practical implications.

Research introduces a new invariant to analyze hyperbolic surfaces' geometric properties.

A look into how certain sets behave under different conditions.

Exploring the relationship between shapes and connectivity in higher-dimensional structures.

Examining geometric extensions and their significance in algebraic geometry and singularities.

An overview of dyons, their properties, and the mathematics behind their interactions.

An overview of locally compact hyperbolic groups and their geometric implications.

A look into the properties and applications of extended locally convex spaces.

A deep dive into the world of manifolds, metrics, and their properties.

A look at the connections between algebraic geometry and cohomology theories.

An overview of flat manifolds, their properties, and the groups that define them.

Examining the properties of harmonic functions on planar graphs and their implications.

A look into the structure and movements of surfaces through the universal spin mapping class group.

Learn about mapping class groups and their role in studying surfaces.

Learn about contact forms, their properties, and how they relate to manifolds.

An exploration of curves and their intersections on closed surfaces.

A study on triple delooping and its implications in hyperoperads.

Explore the concepts of Grassmannians and their implications in modern mathematics.

Examines the ultrahyperbolic equation's significance in medical imaging and geometry.

Exploring the structure and properties of CAT(spaces) and their acting groups.

Explore the significance and properties of cube complexes in geometry and group theory.

A look into the relationships of curves on surfaces through fine 1-curve graphs.

A look at transforming shapes within higher dimensions.

An overview of free-by-cyclic groups and their fascinating properties.

A simplified look at random walks within the structure of CW complexes.

Analyzing how 2-complexes fit into three-dimensional space without overlap.

A look into quasi-isometry and its relationship with different manifolds.

Exploring the connections between cube complexes and hyperbolic spaces in mathematics.

Exploring the effects of group actions on hyperbolic geometry and their mathematical significance.

A look into how symmetric homology studies knots and their relationships.

An overview of positive MV-algebras, their structure, and practical implications.

Explore the unique properties of generic and strongly generic sets within group theory.

Analyzing infinite groups through Floyd boundaries and graphs of groups.

A look into the key concepts of symplectic geometry and its applications.

Explore the significance of irregular Hodge modules in mathematics and their diverse applications.

Exploring the connections between the Whitehead complex and group theory.

This article explores the relationship between coarse and boundedly supported cohomology.

This article explores the properties of knots and their complements in circle bundles over surfaces.

A look into the Poincaré inequality and its connection to geometric properties.