Latest Articles for Geometry

Exploring the key concepts and applications of simple theories in mathematical systems.

Exploring the connection between gauge theories and higher-dimensional integrable models.

Exploring Finsler geometry's impact on understanding the universe.

A look into the Casson-Sullivan invariant and its role in classifying shapes.

A closer look at plurisubharmonic functions and their key properties.

A detailed look at submanifolds and their geometric properties.

Exploring the connections between lines and their mathematical functions.

A look into semifields and their impact on geometry and coding theory.

This study reveals novel results about volume and diameter in Riemannian manifolds.

This study reveals complex behaviors of vector bundles through noncommutative resolutions.

A look into the fascinating world of satellite knots and their properties.

Examining the blend of warped products and Einstein metrics in curved spaces.

A look at how elliptic curves interact with imaginary quadratic fields in number theory.

A study of the figure-eight knot and its unique properties.

Exploring the relationship between bistellar moves and manifolds through new algebraic structures.

An overview of binary forms and their significance in mathematics.

Learn about hyperbolic surfaces and their unique properties through maximal representations.

A look at orbits and their significance in algebraic geometry.

A deep dive into toric ideals and their relation to graph structures.

Exploring the complex world of quantum difference equations and their mathematical significance.

Exploring the role of triangulations in understanding Calabi-Yau manifolds.

A look into Freiman's Theorem and its applications to function fields.

Examining the evolution of shapes through curve shortening flow.

A look at twisted quantum rings and their significance in geometry and physics.

Exploring the significance and applications of link Floer homology in mathematics.

New methods enhance rectangle coverage of orthogonal polygons, including boundary and interior challenges.

A study on how polyhedra and their points connect in various applications.

Examining integral models reveals connections in modern mathematics.

A look into the connections between K3 surfaces and their Tyurin degenerations.

Study reveals key properties of area functionals in spaces with lower Ricci bounds.

Examining properties and applications of Lorentzian polynomials in mathematics.

A deep dive into Hardy functions and their transformations across different domains.

This paper discusses hyperuniformity and random measures across different spaces.

Explore the unique characteristics of links in mathematics.

An overview of minimal surfaces, their energy, and recent developments in the field.

A look into minimal finite models and their significance in topology.

A study of tensor networks in hyperbolic space to analyze quantum states and phase transitions.

Study reveals stability of quasinormal modes in black holes with noncommutative geometry.

Explore the connection between geometry and partial differential equations through prolongation and projective methods.

Examining the connection between Higgs bundles, Painleve equations, and their implications.