Latest Articles for Topology

Group Theory Understanding 2-Dimensional Shephard Groups

An overview of the structure and properties of 2-dimensional Shephard groups.

Katherine Goldman

2025-05-06T14:56:08+00:00 ― 8 min read

Differential Geometry Kenmotsu Manifolds and Ricci Solitons: A Unique Geometry

Explore the intriguing world of Kenmotsu manifolds and the role of Ricci solitons.

K. De, U. C. De

2025-05-06T03:43:36+00:00 ― 6 min read

Geometric Topology Understanding Kauffman Bracket Skein Algebra

A look into the world of knots and their relationships in mathematics.

Haimiao Chen

2025-05-04T05:29:24+00:00 ― 4 min read

Representation Theory Khovanov Arc Algebras: A Connection to Mathematics

Discover how Khovanov arc algebras reveal connections in mathematics and beyond.

Chris Bowman, Maud De Visscher, Alice Dell'Arciprete

2025-05-04T01:17:12+00:00 ― 6 min read

Complex Variables An Insight into Nilpotent Coverings and Holomorphic Convexity

Explore the complex relationship between surfaces, coverings, and holomorphic convexity.

Yuan Liu

2025-05-03T22:29:04+00:00 ― 8 min read

General Topology Whisker Topology: Mapping Paths in Space

Discover how whisker topology helps understand complex spaces through paths.

John K. Aceti

2025-05-01T15:50:28+00:00 ― 6 min read

Geometric Topology The Art of Twisted Knots in Mathematics

Discover how twisted knots shape the world of mathematics and beyond.

Peter Seokhee Seong

2025-05-01T13:02:20+00:00 ― 5 min read

Geometric Topology Understanding Milnor Invariants and Links

Learn about links, Milnor invariants, and their real-world significance.

Akira Yasuhara

2025-05-01T11:38:16+00:00 ― 6 min read

Geometric Topology Understanding Hyperbolic Shapes in Geometry

An exploration of hyperbolic shapes and their fascinating properties.

Alex Elzenaar

2025-05-01T07:26:04+00:00 ― 7 min read

Differential Geometry A Look into Calibrated Submanifolds

Exploring the intricate world of calibrated submanifolds and their transformations.

Romy Marie Merkel

2025-05-01T00:25:44+00:00 ― 6 min read

Geometric Topology Knot Theory and Khovanov Homology Explained

Discover the basics of knot theory and Khovanov homology.

Benjamin Jones, Guo-Wei Wei

2025-04-29T03:46:24+00:00 ― 6 min read

Geometric Topology Connecting Knots and Braids in Mathematics

An overview of generalized braids and their role in knot theory.

Neha Nanda, Manpreet Singh

2025-04-29T01:41:06+00:00 ― 7 min read

Group Theory Groups and Graphs: A Deep Connection

Discover the links between group theory and graph structures.

Eoghan Farrell, Chris Parker

2025-04-23T03:40:42+00:00 ― 7 min read

Computational Geometry Estimating Shapes from Limited Data: A New Approach

Researchers develop methods to analyze shapes using limited data samples.

Araceli Guzmán-Tristán, Antonio Rieser, Eduardo Velázquez-Richards

2025-04-21T06:59:10+00:00 ― 5 min read

Combinatorics The Fascinating World of Polytopes and Stabbing Sets

Discover the intriguing connections between geometry, polytopes, and stabbing sets.

Sebastian Seemann, Francesca Zaffalon

2025-04-19T07:02:10+00:00 ― 6 min read

General Topology Understanding Weakly Convex and Semiconvex Sets

Explore the intriguing world of weakly convex and weakly semiconvex sets in mathematics.

Tetiana M. Osipchuk

2025-04-17T01:45:30+00:00 ― 7 min read

Differential Geometry Curves of Interest: The Mystery of Closed Geodesics

Explore the fascinating world of closed geodesics on bumpy spheres.

Talant Talipov

2025-04-15T01:48:30+00:00 ― 7 min read

Geometric Topology Fitting Squares into Curves: A Mathematical Quest

Can a square perfectly fit on a round surface? Discover the intriguing challenges.

Ali Naseri Sadr

2025-04-14T20:28:50+00:00 ― 6 min read

Differential Geometry Journey Through Minimal Submanifolds and Symmetric Spaces

Explore the fascinating world of minimal surfaces and their structures.

Mikolaj Fraczyk, Ben Lowe

2025-04-13T07:11:10+00:00 ― 5 min read

Logic The Intriguing World of Countable Borel Equivalence Relations

Discover the fascinating structure behind countable Borel equivalence relations in mathematics.

Balázs Bursics, Zoltán Vidnyánszky

2025-04-12T20:31:50+00:00 ― 5 min read

Algebraic Topology The Fascinating World of Topological Elliptic Genera

Discover the interplay of shapes and spaces in topology.

Ying-Hsuan Lin, Mayuko Yamashita

2025-04-11T17:19:34+00:00 ― 6 min read

Probability Unlocking the Mysteries of Planar Maps

Dive into the world of geodesics on random planar maps.

Emmanuel Kammerer

2025-04-09T04:37:20+00:00 ― 6 min read

Algebraic Geometry The Intrigue of Genus 4 Curves

Discover the fascinating world of genus 4 real algebraic curves and their properties.

S. Yu. Orevkov

2025-04-08T17:58:00+00:00 ― 7 min read

Geometric Topology Unraveling the Mysteries of Graph Manifolds

Discover the fascinating world of graph manifolds and the Thurston norm.

Alessandro V. Cigna

2025-04-05T04:43:20+00:00 ― 8 min read

Algebraic Geometry Demystifying Commutative Diagrams and Functors

Discover how commutative diagrams and functors simplify complex mathematical concepts.

Chirantan Chowdhury

2025-04-04T10:04:30+00:00 ― 4 min read

Logic Connecting Shapes: The Fascinating World of Topology

Discover the intriguing relationship between different shapes and spaces in mathematics.

Felix Cherubini, Thierry Coquand, Freek Geerligs

2025-04-04T04:44:50+00:00 ― 5 min read

K-Theory and Homology Magnetic Equivariant K-Theory: A Deep Dive

Explore the intriguing world of magnetic equivariant K-theory and its real-world applications.

Higinio Serrano, Bernardo Uribe, Miguel A. Xicoténcatl

2025-04-03T14:16:44+00:00 ― 8 min read

Geometric Topology Unlocking the Secrets of 4-Manifolds

Dive into the fascinating world of four-dimensional shapes and their classification.

Rhuaidi Antonio Burke, Benjamin A. Burton, Jonathan Spreer

2025-04-02T15:27:10+00:00 ― 7 min read

Algebraic Topology Unpacking Topology: Compactness and Finiteness

Discover the intriguing world of topology through compactness and finiteness.

Marco Volpe

2025-04-02T10:07:30+00:00 ― 6 min read

Mathematical Physics Knots Revealed: The Harer-Zagier Transform

Discover how a mathematical tool changes our view on knots and links.

Andreani Petrou, Shinobu Hikami

2025-03-29T18:50:34+00:00 ― 6 min read

Geometric Topology The Intricacies of Tangles and Their Secrets

Unveiling the fascinating world of tangles and their mathematical significance.

Kai Smith

2025-03-26T23:37:10+00:00 ― 4 min read

Group Theory Unraveling Triangle Artin Groups: A Guide

Discover the fascinating world of Triangle Artin groups and their structures.

Greyson Meyer

2025-03-24T13:00:50+00:00 ― 6 min read

General Topology The Intricacies of Shapes in Topology

Explore the fascinating world of shapes and their connections in topology.

Diego Mondéjar

2025-03-24T07:41:10+00:00 ― 5 min read

Algebraic Geometry Layers of Geometry: Unpacking Calabi-Yau Foliations

Discover the intricate world of Calabi-Yau foliations and their significance in mathematics.

Rémi Danain-Bertoncini

2025-03-20T13:06:50+00:00 ― 6 min read

Representation Theory The Intricacies of Triangulated Categories

Dive into the world of triangulated categories and their significance in mathematics.

Janina C. Letz, Julia Sauter

2025-03-19T21:07:50+00:00 ― 6 min read

Group Theory Dancing with Symmetry: Groups and Trees

Discover the fascinating relationship between groups and tree structures in mathematics.

Martín Gilabert Vio

2025-03-16T23:52:10+00:00 ― 7 min read

Group Theory Understanding Right-Angled Artin Groups

A look into the fascinating world of RAAGs and their properties.

Camille Horbez, Jingyin Huang

2025-03-16T13:12:50+00:00 ― 6 min read

Logic Unlocking the World of Ideals in Mathematics

A simple overview of ideals and their significance in mathematics.

Ilijas Farah

2025-03-12T21:18:20+00:00 ― 6 min read

Algebraic Topology Unraveling Algebraic Topology: A Deep Dive

Explore the fascinating world of algebraic topology and its structures.

Rodrigo Santos Monteiro

2025-03-07T08:06:40+00:00 ― 6 min read

Algebraic Topology The Kervaire Invariant: A Milestone in Topology

New findings reveal smooth framed manifolds in dimension 126.

Weinan Lin, Guozhen Wang, Zhouli Xu

2025-03-07T00:07:10+00:00 ― 4 min read