Examining closed curves and their properties on the once-punctured torus surface.
― 5 min read
Mathematics - Geometric Topology
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This article examines the properties and structures of compact, connected, orientable 3-manifolds with boundaries.
― 6 min read
A look into Legendrian curves and their significance in contact topology.
― 7 min read
Discover how quandles aid in understanding knots and their properties.
― 4 min read
A look at generalized Mazur patterns and their significance in knot theory.
― 4 min read
A look into how curves intersect on hyperbolic surfaces.
― 4 min read
Machine learning techniques advance the study of complex 3-manifolds and their triangulations.
― 6 min read
Exploring the links between hyperbolic manifolds and Riemann surfaces.
― 4 min read
A look into the concepts of Lagrangian Floer homology and its group interactions.
― 5 min read
This study analyzes contact structures on Brieskorn spheres and lens spaces.
― 5 min read
Examining complex equations in three-dimensional manifolds and their implications.
― 6 min read
This article presents a topological method for understanding the HOMFLY-PT polynomial in knot theory.
― 5 min read
A look into the study of three-dimensional manifolds through triangulation methods.
― 7 min read
An overview of harmonic maps and their significance in geometry and topology.
― 8 min read
Examining the ties between three-dimensional theories and Virasoro minimal models.
― 5 min read
Exploring methods to classify four-dimensional shapes based on their properties and relationships.
― 4 min read
A look into the Casson-Sullivan invariant and its role in classifying shapes.
― 6 min read
A look into the fascinating world of satellite knots and their properties.
― 6 min read
A study of the figure-eight knot and its unique properties.
― 5 min read
Learn about hyperbolic surfaces and their unique properties through maximal representations.
― 5 min read
Exploring the significance and applications of link Floer homology in mathematics.
― 12 min read
Explore the unique characteristics of links in mathematics.
― 5 min read
A look at the relationship between algebraic K-theory and mathematical foams.
― 5 min read
Exploring the interplay of quiver Hecke algebras and Floer homology in modern mathematics.
― 3 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
This article explores the characteristics of cohomology groups in algebraic structures.
― 5 min read
A look into colored links and their key invariants through matrix calculations.
― 5 min read
A look into the fascinating structures and properties of knots.
― 6 min read
This article examines the relationship between symplectic homology and Besse manifolds.
― 6 min read
A deep dive into string links and their significance in knot theory.
― 7 min read
Planar-Rips complexes reveal connections and structures in two-dimensional data.
― 5 min read
Exploring methods to determine if one shape can fit into another.
― 6 min read
Exploring knotoids and linkoids through the mock Alexander polynomial.
― 6 min read
Discover the complexities of non-Hausdorff manifolds through the line with two origins.
― 6 min read
Exploring the role of triple grid diagrams in understanding surfaces and links in mathematics.
― 5 min read
A look into knot theory, focusing on properties, invariants, and torsion elements.
― 6 min read
Exploring unique surfaces defined within a bi-complex hyperbolic framework.
― 5 min read
An overview of lattices, commensurability, and their significant properties in mathematics.
― 5 min read
GKP codes offer innovative solutions for quantum error correction and reliable computations.
― 4 min read
This article explores the link between torsion and skein modules in compact oriented manifolds.
― 5 min read