Latest Articles for Topology

A look into how geometrical shapes relate to group theory.

A look into group actions and phenomena in CAT-spaces.

A look into self-similar groups and their complex structures.

Examining how boundary critical points can merge into the interior of manifolds.

A look at ultraposets and their role in mathematics.

Exploring the properties and classifications of L-space and almost L-space knots.

Examining construction methods for contact manifolds with varied Weinstein fillings.

A key tool linking algebra and topology in mathematics and physics.

A look into open books and trisections in manifold study.

Research reveals connections between rapid decay and polynomial growth in twisted etale groupoids.

Exploring the link between braided tensor categories and TQFTs in mathematics.

Recent findings challenge the validity of the Simple Loop Conjecture in complex mappings.

New findings in surface homology question established ideas about loops and bases.

Examining the relationship between simple closed curves and their covering spaces.

Discover the connections between knot theory and Khovanov homology.

New findings in Thom spectra offer tools for tackling complex mathematical problems.

Research delves into the connection between geometry and mass distribution.

A look at the properties and implications of minimal irregular surfaces in mathematics.

An overview of simplicial objects and their role in geometry and physics.

A look into the Plateau problem and its significance in geometry.

Exploring the links between categories, cohomology theories, and Galois representations.

An overview of torsors and gerbes and their significance in mathematics.

A look into complex spaces, focusing on key concepts and their relationships.

Exploring the relationships among algebraic objects and their properties.

A simplified look at arc complexes and their significance in hyperbolic surfaces.

Discoveries in maniplex theory reveal new structures beyond classic polytopes.

This article examines how nilpotent groups affect graphs and harmonic functions.

A look into the relative Gromov seminorm and its mathematical significance.

Study of flat Wieler solenoids reveals insights into chaotic systems and function behavior.

Using GNNs to analyze the geometry of plumbed 3-manifolds.

A deep dive into polyhedral maps, covering balance, connectivity, and structures.

This paper examines the relationship between graphs and surfaces through map homomorphisms.

Examining the links between persistent homology and directed spaces for concurrent programs.

A look into the distance measurements on complex surfaces within a special space.

An overview of braided algebras and their applications.

An overview of linear systems, operator solutions, and their connection to quantum theory.

A look at mapping class groups and their role in topology.

Exploring the relationship between orbifold braids and mapping class groups in mathematics.

An insight into the structure and properties of orbifold mapping class groups.

A look into increasing functions and their topological properties.