Latest Articles for Geometry

Examining the link between geometry and physical theories through Calabi-Yau manifolds.

Explore how circles can cover darts on a hexagonal board.

Explore the role and applications of Simon-Łojasiewicz inequalities in various mathematical fields.

This study analyzes the chromatic numbers of four-dimensional lattices through Voronoi graphs.

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

Exploring the unique properties and applications of antinorms in mathematics.

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.

This article explores the affine-additive group's structure and properties.

A look into the structure and importance of posets in mathematics.

Exploring the behavior of nonlinear Vlasov equations in chaotic geometrical spaces.

A look at gentle algebras and their significance in mathematics.

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

A look into matrix factorizations and their tensor products in mathematics.

A look into shapes that nearly minimize area or perimeter.

Examining the ties between complex geometry and gauge theory.

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

Exploring the role of geodesics in quantum field theories through special Kähler geometry.

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

A study on complex shapes and their behaviors through mathematical forms.

A deep dive into convex shapes and their spectral properties.

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

A look into how eigenmaps improve data analysis through effective scaling.

Examining the behavior and stability of Killing cylinders in non-Euclidean geometry.

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

An introduction to Sliced Wasserstein geodesics and their differences from Wasserstein geodesics.

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

A deep dive into the Dyn-Farkhi conjecture and its implications in geometry.

A look into the properties and applications of tRAAGs in group theory.

An overview of affine quantum groups and their significance in mathematics.

Explore the connection between Borcherds products and modular forms.

Explore the connections between Motzkin paths and projective geometry.

A look into the properties and arrangements of two-dimensional integral point sets.

This article examines the behavior of quasi-states in symplectic geometry.

An overview of Hilbert schemes, Białynicki-Birula cells, and their geometric implications.

Exploring the relationship between Coxeter groups and Elnitsky tilings in geometry.

An overview of key algebraic structures and their properties.

Exploring the relationship between unimodular valuations and lattice polytopes.