Latest Articles for Topology

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

Algebraic Topology Understanding Coarse Geometry: A Big Picture Perspective

Discover the fascinating world of coarse geometry and its key concepts.

Ulrich Bunke

2025-03-06T13:27:50+00:00 ― 7 min read

Mathematical Physics Unraveling the Mysteries of Knots and Three-Manifolds

Discover the fascinating world of knots and their connection to three-manifolds.

Sachin Chauhan

2025-03-03T10:43:50+00:00 ― 5 min read

Geometric Topology The Andrews-Curtis Conjecture: Simplifying Complexity in Mathematics

Explore the intriguing relationships between groups, surfaces, and conjectures in math.

Lucas Fagan, Yang Qiu, Zhenghan Wang

2025-03-02T08:14:10+00:00 ― 7 min read

Symplectic Geometry Understanding Punctured Pseudoholomorphic Curves

Discover the fascinating world of curves and their interactions in mathematics.

Naageswaran Manikandan

2025-03-01T13:35:20+00:00 ― 7 min read

Differential Geometry Understanding Riemannian Manifolds: A Deep Dive

Explore the shape and properties of curved spaces through Riemannian geometry.

Gioacchino Antonelli, Marco Pozzetta, Kai Xu

2025-02-25T19:01:00+00:00 ― 6 min read

Symplectic Geometry The Dance of Geometry: Hamiltonian Manifolds and Cohomology

Unraveling the relationship between shapes and group actions in mathematics.

Tara S. Holm, Liat Kessler, Susan Tolman

2025-02-23T03:05:00+00:00 ― 8 min read

Algebraic Topology Understanding Graded Frobenius Algebras

A look at graded Frobenius algebras and their mathematical connections.

Jonathan Clivio

2025-02-22T05:46:20+00:00 ― 7 min read

Logic Maximality Principles in Logic

Explore the role of maximality principles in logic and their connections to choice and structure.

Rodrigo Nicolau Almeida, Guram Bezhanishvili

2025-02-21T16:27:10+00:00 ― 6 min read

Geometric Topology Quadratic Bias and Manifolds Explained

Explore the intriguing connection between quadratic bias and manifolds in mathematics.

Ian Hambleton, John Nicholson

2025-02-19T00:31:10+00:00 ― 7 min read

Algebraic Topology The Intricacies of Diagram Algebras

A look into the fascinating world of diagram algebras and cohomology.

Andrew Fisher, Daniel Graves

2025-02-17T11:13:30+00:00 ― 5 min read

Symplectic Geometry The Fascinating World of Symplectic Topology

Uncover the deep connections within symplectic topology and its dimensions.

Ronen Brilleslijper, Oliver Fabert

2025-02-16T08:30:00+00:00 ― 7 min read

Algebraic Geometry Connecting Shapes: Quasimaps and Varieties

Discover the links between varieties, quasimaps, and their fascinating properties in math.

Alberto Cobos Rabano

2025-02-14T08:38:10+00:00 ― 7 min read

Metric Geometry Understanding Metric Spaces: A Simple Guide

Learn about metric spaces and their role in measuring distances.

Denis Marti, Elefterios Soultanis

2025-02-12T19:20:30+00:00 ― 6 min read

Group Theory The Fascinating World of Group Theory

Explore the connections between groups, chain complexes, and their properties.

Marco Linton

2025-02-08T16:46:40+00:00 ― 7 min read

Geometric Topology Untangling the Mystery of Link Theory

Discover the fascinating world of link theory and its key concepts.

Anthony Bosman, Christopher William Davis, Taylor Martin

2025-02-06T22:09:20+00:00 ― 6 min read

Geometric Topology Surfaces in Four-Dimensional Spaces

Dive into the fascinating world of 4-manifolds and surfaces.

Arunima Ray

2025-02-01T22:16:50+00:00 ― 7 min read

Combinatorics The Hidden World of Hurwitz Numbers

Discover the fascinating role of Hurwitz numbers in math and science.

Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga

2025-01-30T12:52:18+00:00 ― 4 min read

Differential Geometry The Enigma of Special Lagrangian Pants

Discover the unique geometric shapes behind the Donaldson-Scaduto conjecture.

Gorapada Bera, Saman Habibi Esfahani, Yang Li

2025-01-30T01:01:10+00:00 ― 6 min read

Geometric Topology Knot Theory Explained: The Role of Skein Invariants

Discover how skein invariants simplify the study of knot theory.

Igor Nikonov

2025-01-29T11:42:00+00:00 ― 9 min read

Differential Geometry Discovering the Secrets of Metric Spaces

An overview of metric spaces, curvature, and their fascinating properties.

Xin Qian

2025-01-25T06:28:20+00:00 ― 6 min read

Quantum Algebra Decoding Circuit Algebras: The Math Behind Complexity

Explore circuit algebras and their role in understanding knots and technology.

Sophie Raynor

2025-01-24T22:28:50+00:00 ― 5 min read

Mesoscale and Nanoscale Physics Navigating the Quantum Market: States and Structures

Explore the intricate relationships between quantum states through geometry and topology.

Shin-Ming Huang, Dimitrios Giataganas

2025-01-21T13:07:32+00:00 ― 7 min read

Representation Theory The Intrigue of Stiefel-Whitney Classes and Symplectic Groups

Unravel complex math concepts with Stiefel-Whitney classes and symplectic groups.

Neha Malik, Steven Spallone

2025-01-19T06:37:20+00:00 ― 6 min read

General Topology Cover Spaces: A Simple Guide to Complex Ideas

Learn the basics of cover spaces and their significance in mathematics.

Valery Isaev

2025-01-19T01:17:40+00:00 ― 5 min read