Latest Articles for Topology

Research on how 3-manifolds can fit into 4-dimensional spaces.

A look into Lagrangians and their role in symplectic geometry through surgeries.

Exploring the properties and significance of Artin and braid groups in mathematics.

Explore the unique properties and implications of negatively curved manifolds.

Exploring the intricate features of Enriques varieties in geometry.

Examining the impact of Dehn twists on four-dimensional structures.

Research uncovers new higher-dimensional examples in lattice theory.

Exploring the properties and transformations of Thompson's group in Cantor space.

Explore the key aspects of the 4-point theorem in geometry.

A new approach to graph homomorphisms sheds light on complex problems.

Examining cobordism groups and properties of Lagrangian immersions in symplectic manifolds.

Learn about the basic concepts and applications of homotopy theory in mathematics.

A look at the Gelfand-Naimark Theorem linking topology and algebra.

A study of trees and their measures in Outer Space reveals complex mathematical relationships.

Learn how multisections simplify the study of complex shapes in higher dimensions.

A look into flexible mathematics and its impact on geometry.

An exploration of Liouville manifolds and their role in symplectic geometry.

Explore the essential links between special functions, ideals, and number theory.

A look into braid groups, the Goldberg homomorphism, and their relationships.

Discovering the behavior of geodesics on complex surfaces with holes.

Exploring the role of cohesive modules in complex manifolds and coherent sheaves.

This article examines the triviality of stunted projective spaces in topology.

A look into simply rooted families and their connection to cubical sets.

A look into using knots to study magnetic fields in plasmas.

Explore the unique properties and transformations of the Klein bottle in mathematics.

A look into Ehrhart polynomials and unique properties of reflexive polytopes.

An overview of harmonic maps, gluing theory, and energy bubbling.

This paper examines algorithms for creating nonarithmetic pairs in line arrangements.

A look into the relationships between shapes and their spaces in mathematics.

A study of geometrical structures and their classifications within moduli spaces.

Explore the concept of universal metric spaces and their significance in mathematics.

A look at how the Quillen negation monoid shapes morphism properties in category theory.

Exploring connections between geometric objects and algebraic structures.

A look into moduli spaces and their role in algebraic geometry.

This article explores the nuances of extending quasiconformal mappings while maintaining key properties.

Discover how motivic homotopy theory deepens our understanding of algebraic geometry.

A look into the basics of cobordisms and their significance in mathematics.

Investigating how topology influences monitored quantum systems and their behavior.

An overview of ideals and their powers in mathematics.

Explore the fascinating world of higher Teichmüller spaces and their intricate structures.