A look at how simplicial complexes help us study shapes and volumes.
― 5 min read
Mathematics - Algebraic Topology
RSSA clear exploration of homotopy and homology in topology.
― 6 min read
Research sheds light on schemes and their properties within algebraic geometry.
― 4 min read
This article explores the relationship between magnitude homology and path homology in directed graphs.
― 4 min read
An overview of automorphism groups, cohomology, and their applications in mathematics.
― 5 min read
This article explains amyloid fibrils and their link to various diseases.
― 5 min read
Exploring the properties and applications of semi-coarse spaces in mathematics.
― 6 min read
Exploring the relationship between geometry, symmetries, and representation theory.
― 6 min read
This article examines the properties and structures of compact, connected, orientable 3-manifolds with boundaries.
― 6 min read
This article details a new framework for Rozansky-Witten models using functors and categories.
― 5 min read
Examining subgroup actions on PL spheres and their relation to toric spaces.
― 4 min read
Explore the significance of Burnside rings in group actions and symmetric structures.
― 7 min read
An overview of formality and its significance in algebraic structures.
― 6 min read
A look at the de Rham-Witt complex and its significance in algebraic structures.
― 5 min read
This article presents a topological method for understanding the HOMFLY-PT polynomial in knot theory.
― 5 min read
Explore how zeta functions interact with number theory and algebraic structures.
― 4 min read
An overview of the process for changing weak groupoids to strict groupoids.
― 7 min read
Exploring digraphs, their homology, and key algebraic structures.
― 5 min read
This paper examines Bieri-Eckmann duality in groups and spaces.
― 4 min read
This article explores tropical geometry and its key concepts.
― 5 min read
Exploring methods to classify four-dimensional shapes based on their properties and relationships.
― 4 min read
Exploring the relationship between bistellar moves and manifolds through new algebraic structures.
― 5 min read
A deep look into sets, mappings, and their roles in mathematics.
― 6 min read
This article explores how geometry helps analyze complex systems through Betti curves and manifolds.
― 5 min read
An overview of categories, cofibrations, fibrations, and their significance in mathematics.
― 5 min read
A look into minimal finite models and their significance in topology.
― 7 min read
A look at the relationship between algebraic K-theory and mathematical foams.
― 5 min read
Graphcodes enhance topological data analysis for better insights in complex datasets.
― 6 min read
A new method improves analysis of complex datasets using advanced techniques.
― 6 min read
Exploring the connections between handlebodies and duality groups in topology.
― 7 min read
A look into the concept of Poincare duality and its impact on manifolds.
― 4 min read
A study on rational cohomology in the context of non-singular curves.
― 6 min read
A look into graphs, their structures, and the implications for data analysis.
― 5 min read
A look into advanced mathematical structures and their significance.
― 4 min read
Explore the fascinating world of toric varieties and their unique properties.
― 5 min read
Planar-Rips complexes reveal connections and structures in two-dimensional data.
― 5 min read
A new method using topology improves keypoint detection in images.
― 7 min read
A new method enhances point cloud feature extraction for various applications.
― 6 min read
Exploring random cell complexes in mathematics and data analysis.
― 5 min read
Explore A-infinity algebras and their applications in math and physics.
― 6 min read