Latest Articles for Geometry

A closer look at the structures and implications of degeneracy loci in algebraic geometry.

An overview of harmonic metrics and their role in geometry.

A look into hypercomplex structures and their properties on manifolds.

Exploring the ties between knot theory and dynamical systems.

Exploring the properties of Lorentz balls using probability and geometry.

This article discusses perfect matchings in lattices, their types, and applications.

Discover how the shape of a Möbius strip affects electron behavior.

A guide to Frobenius algebras and monoidal categories in mathematics.

This article explores the link between quantum affine algebras, tropical geometry, and scattering amplitudes.

An overview of extremal length and its implications in geometry and topology.

Explore the links between operads, algebras, and tangent categories.

A study on tangent spaces in the trianguline variety and their implications for representation theory.

Exploring the relationships between Hodge theory and Lagrangian fibrations in mathematics.

An overview of Lorentzian manifolds and their role in Minkowski spacetime.

A look into cubical sites and their role in category theory.

This paper examines the relationship between permutations and the trianguline variety's properties.

A look at how cosmological polytopes connect mathematics and physics.

This article examines best proximity points and their significance in metric spaces.

Utilizing hyperbolic geometry to enhance machine learning in computer vision tasks.

Exploring connections between geometric shapes and mathematical functions.

Exploring the relationship of double twist knots and their quiver representations.

Exploring the behavior of integer points in integral bisubmodular polyhedra.

Exploring the relationships between key mathematical concepts in number theory.

A straightforward look into modular forms and their significance in mathematics.

An overview of 3-manifolds and their properties in mathematics.

Exploring the stability of foliations and the significance of compact leaves.

A look at geometry's history and its evolving problems and solutions.

A look into the concept of foliations and their mathematical significance.

Learn about rational 3-tangles and their significance in mathematical structures.

A look at mathematical structures through simple shapes and their patterns.

Exploring the significance and properties of almost-space knots in topology.

Discover the key concepts and relationships in horospherical dynamics and translation surfaces.

Explore the significance of Milnor frames in various dimensional spaces and their geometric properties.

This document explores methods to analyze functions in discrete spaces, focusing on graphs.

Learn about trivial rational tangles and how to identify them.

An overview of toric geometry and the OSCAR tool for researchers.

A look at helicoidal and minimal surfaces in mathematics and their practical applications.

Exploring the relationship between circle rotations, randomness, and mathematical sums.

This article reviews curve behavior in metric-affine geometry and its implications for gravity.

This article explores the properties of special geometric measures.