Latest Articles for Topology

Explore the concepts of isometric and conformal embeddings in surface geometry.

A deep dive into the concepts of group actions and subgroups in mathematics.

This paper investigates completeness in polymodal provability logic using periodic sets.

Understanding smooth manifolds through triangulations and their properties in topology.

This article explains dendroidal sets and the right cancellation property in mathematics.

A closer look at how tangles relate to character varieties in geometry.

A look at knots, links, and mathematical invariants in topology.

Explore the significance of harmonic spinors and 1-forms in geometry and topology.

Research linking topological field theories with quantum groups and Lie superalgebras.

Exploring the structure and features of nilpotent groups and torsion-free elements.

A look into the Thurston norm and its relation to 2-bridge links in 3-manifolds.

A look into the atomic Leibniz rule and its mathematical significance.

Exploring the impact of crossing changes on knot types.

Proof of two unique loops based on any point on a sphere.

An overview of the interactions between loops and manifolds through various mathematical tools.

Exploring mirror symmetry in Calabi-Yau varieties and its implications in geometry.

A look at systoles and their calculation on combinatorial surfaces.

Examining how mapping class groups can be structured and ordered.

Investigating the impact of singularities on complex surfaces.

Exploring the structure and properties of Jennings groups formed from power series.

An overview of hyperbolic geometry and its connections to algebra.

Exploring the transformations and properties of rational surfaces in mathematics.

This article examines the links between polytopes and Weyl groups in mathematics.

Vietoris-Rips complexes reveal data patterns through geometric relationships between points.

Exploring the connection between ADO invariants and fibred links in knot theory.

Examining the role and effects of conformal submersions in geometric structures.

A look into how links are classified using local moves and invariants.

This article examines distance functions and their significance as topological Morse functions.

Exploring the dynamics and properties of Anosov diffeomorphisms on complete open surfaces.

Exploring wave fronts' properties in mathematics and their significance in various fields.

Learn how essential triangulations in 3D can relate through various moves.

Exploring spin cobordism's role in understanding string theory gauge groups.

This article explores set convergence and uniform convergence in bornology contexts.

This study presents a novel method for calculating indices in locally symmetric spaces.

A look into ALF gravitational instantons and their unique properties in mathematics and physics.

Exploring topological and categorical definitions of schemes in algebraic geometry.

Explore the unique structures and properties of near-vector spaces in mathematics.

Exploring Cauchy-complete categories, subtoposes, and rigid topologies in mathematics.

A look into the importance of incomplete Tambara functors in modern algebra.

Exploring relationships and structures in set theory through various frameworks and models.