A look into the relationships of circles, angles, and polyhedral structures.
― 5 min read
Mathematics - Geometric Topology
RSSLatest Articles
Latest Articles
Investigating LRY skein algebras and their applications in algebraic topology.
― 4 min read
Explore the differences between finite-type and infinite-type surfaces in topology.
― 4 min read
Exploring fibered knots and their connection to volume and genus in 3-manifolds.
― 5 min read
Exploring the unique properties of non-simple systoles on hyperbolic surfaces.
― 6 min read
Study of sphere arrangements in three-dimensional manifolds with boundaries.
― 5 min read
A study on using the photography method to analyze Dijkgraaf-Witten invariants in manifolds.
― 4 min read
Study reveals exponential growth of lengths in hyperbolic orbifolds.
― 4 min read
Exploring methods to study overlapping curves in geometry and algebra.
― 6 min read
Explore the role of quantum groups in modern mathematics and physics.
― 3 min read
A look into the role of Lie algebras in symmetry and transformations.
― 4 min read
Exploring robot coverage for safety in hazardous environments.
― 5 min read
Examining how cabling operations influence knot complexity and crossing numbers.
― 5 min read
Uncover the fascinating properties of exotic spheres in mathematics.
― 5 min read
Explore methods for analyzing curvature in surfaces with unique geometric features.
― 5 min read
An overview of Legendrian knots and their classification challenges.
― 5 min read
Explore the classification of hyperbolic links within three-dimensional spaces.
― 5 min read
Study reveals properties of mapping class groups tied to unique maximal ends.
― 5 min read
Exploring relationships between 3-manifolds, their invariants, and mathematical constructs.
― 5 min read
Research reveals complex behaviors of critical points on large hyperbolic surfaces.
― 6 min read
A deep dive into expanders, hyperbolicity, and their significance in topology.
― 5 min read
A study on the transformations of infinite graphs and their properties.
― 7 min read
Exploring character varieties and algebra in hyperbolic knot complements.
― 6 min read
A simpler view of higher-dimensional topology and its algebraic connections.
― 5 min read
Researchers introduce tools to analyze filament complexity in materials.
― 5 min read
Examining the relationship between stability and limit sets in Kleinian groups.
― 5 min read
Explore the significance of almost classical links within virtual knot theory.
― 5 min read
Exploring minimal triangulations and their role in understanding 2-manifolds.
― 4 min read
Examining the interplay of quantum representations and mapping class groups through kernels and Dehn twists.
― 7 min read
An overview of contact geometry, highlighting its structures and practical implications.
― 5 min read
An overview of right-angled Artin groups and their relation to measure equivalence.
― 4 min read
A look into the structure and movements of surfaces through the universal spin mapping class group.
― 5 min read
Learn about mapping class groups and their role in studying surfaces.
― 5 min read
Learn about contact forms, their properties, and how they relate to manifolds.
― 6 min read
An exploration of curves and their intersections on closed surfaces.
― 5 min read
A look into the relationships of curves on surfaces through fine 1-curve graphs.
― 8 min read
A look at transforming shapes within higher dimensions.
― 5 min read
A simplified look at random walks within the structure of CW complexes.
― 5 min read
Analyzing how 2-complexes fit into three-dimensional space without overlap.
― 3 min read
Voxelization simplifies the analysis of 3D images across various fields.
― 4 min read
Exploring the effects of group actions on hyperbolic geometry and their mathematical significance.
― 7 min read