Latest Articles for Topology

Explore the ties between toric cycles and modular forms in modern mathematics.

An overview of explicit cocycles and their significance in mathematics.

A look into -complexes and their significance in mathematics and various fields.

Exploring the connections between group actions, Khovanov homology, and knot theory.

Explore the role of sheaves in modern mathematics and their significant results.

Examining how group properties hold steady as they grow.

Exploring the features and implications of surfaces in mathematics and real life.

Explore the significance of cscK surfaces and foldable surfaces in geometry.

This paper explores the properties and behaviors of random shapes in detail.

Discover the significance of Mumford curves in algebraic geometry and number theory.

Examining key relationships in algebraic geometry through Grassmannians and Schubert cells.

A detailed look at TGS knots and links in various three-dimensional shapes.

A look into parabolic Higgs bundles and their implications in mathematics.

This article explores topological volume and its significance in understanding 3-manifolds.

An overview of group theory, cohomology, and their interaction with p-adic fields.

Explore the significance of area-rigidity in the study of Riemannian geometry.

A look at Heegaard splittings and their role in understanding three-dimensional shapes.

This article examines the process of smoothing curves and arcs on various surfaces.

A look into the relationship between coloured triangulations and their flip graphs.

Exploring the Mumford conjecture's implications for surfaces and their cohomology.

A look into knot theory and its mathematical significance.

This study links braid varieties to labeled trees through a mathematical bijection.

Examining the symmetries and structures of generalized Petersen graphs.

Exploring surjective flat holomorphic maps in manifold theory and their implications.

Exploring monoidal structures in filtered chain complexes and their implications.

Explore the role of Yang-Mills connections in stability and geometry.

A study of paths in mathematical spaces using universal Lipschitz concepts.

This article introduces dagger categories and bordism categories in simple terms.

This article explores the properties of 4-manifolds and their relationship with Einstein metrics.

Examining filtered chain complexes and bicomplexes through model categories in homotopy theory.

Insights into hyperplane transversals and their impact on compact connected sets.

Exploring the links between hyperbolic groups and spherical minimal surfaces in geometry.

Exploring the effects of torus actions on geometric structures.

A clear overview of effective Kan fibrations and their significance in homotopy theory.

This study investigates the collapsibility of various arc complexes in topology.

Examining blown-up coronae and their impact on group interactions.

This paper links operads and Mackey functors using finite groups.

A look into the study of simply-connected manifolds and their classification.

Soft Mapper improves data visualization by optimizing filter functions in Mapper graphs.

An overview of stable homotopy theory and its computational methods.