Latest Articles for Geometry

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.

A look at the relationship between algebraic K-theory and mathematical foams.

Exploring the intricate relationships within modular curves and their mathematical significance.

A look at Fourier-Stieltjes algebras and their connection to groupoid actions.

Exploring the interplay of quiver Hecke algebras and Floer homology in modern mathematics.

A new method improves analysis of complex datasets using advanced techniques.

Exploring the connections between handlebodies and duality groups in topology.

A look at the Fukaya category and its relevance to geometric surfaces.

Explore the unique connections between the Monster group and various branches of mathematics.

A look into methods for analyzing complex geometric shapes.

A look into the concept of Poincare duality and its impact on manifolds.

An exploration of Thom's conjecture and its applications in gradient flow.

This article explores the characteristics of cohomology groups in algebraic structures.

An exploration of how paths connect through systematic flips.

Discover how tropical geometry reshapes our understanding of shapes and relationships.

New methods improve SVM performance in hyperbolic spaces for complex data.

An overview of module theory and its applications in semirings.

A clear look at shapes formed by quadratic inequalities and their applications.

Exploring how averaging affects the universe's geometry and gravitational dynamics.

This article discusses recent developments in the study of syzygies in algebraic geometry.