Latest Articles for Topology

A look into measures, bifiltered spaces, and their implications in mathematics.

This article discusses the challenges of smoothing stable maps in projective varieties.

Explore the fundamental concepts and applications of homotopy theory.

An overview of cohomology and its implications for algebraic groups over local fields.

A look at how maximal representations connect surfaces and geometric properties.

Understanding the role of subfunctors in mathematics and their significance.

This study examines weak conjugacy in homeomorphisms, focusing on compact surfaces and invariants.

Examining how knot theory relates to algebraic structures through representation theory.

Exploring diverse orbit behaviors in torus maps and their implications in dynamics.

A look into braided algebras and their role in mathematics.

A look into how Pachner moves shape polygon equations.

Explore cancellation properties of orders in number fields and semisimple algebras.

Overview of mixed Hodge modules and their relevance to algebraic stacks.

An overview of triple symbols and their importance in number theory and algebra.

A deep dive into the behavior and classification of polynomial vector fields.

A study on Kodaira fibrations and their algebraic sections in geometry.

An overview of metric extensions and their significance in topology.

Discover the unique structures and applications of quandles in mathematics.

An overview of knots, surfaces, and their mathematical relationships.

A deep dive into the smoothing of algebraic cycles in geometry.

A look into the connections and properties of mathematical spaces.

This article highlights the role of gluing invariants in symplectic geometry.

Exploring the localization of exotic diffeomorphisms in four-dimensional shapes.

Investigating contact analogues of Kirby moves in manifold surgery diagrams.

A look at gentle algebras and their significance in mathematics.

An overview of flat sub-Lorentzian structures and the Martinet distribution.

A study on the relationship between flag structures and Hitchin representations in geometry.

A look into knots and links, focusing on the Hopf link properties.

Delve into the intriguing structure of Margulis space-time and its properties.

Exploring the properties and implications of regular and normal spaces in topology.

A look into the intriguing world of 3-manifolds and their properties.

Explore the Berry phase and its impact on materials science and quantum systems.

Exploring the connection between three-manifolds and topological orders.

A look into the residual finiteness of Lie groups and their subgroups.

A look at Riemann surfaces and their significance in mathematics.

A look into power lattices and their significance in various mathematical fields.

Explore the significance of circle packings in understanding geometric surfaces.

Exploring the connections between geometry and algebra through Hitchin representations.

An overview of the Chern form in the context of étale groupoids.

Exploring lattices and left-orderability in higher-rank semisimple Lie groups.