Understanding smooth manifolds through triangulations and their properties in topology.
― 6 min read
Mathematics - Geometric Topology
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Exploring the impact of crossing changes on knot types.
― 6 min read
An overview of the interactions between loops and manifolds through various mathematical tools.
― 6 min read
Exploring the relationship between quasi-transitive graphs and planar Cayley graphs.
― 5 min read
A look at systoles and their calculation on combinatorial surfaces.
― 5 min read
Examining how mapping class groups can be structured and ordered.
― 7 min read
Explore the unique properties and uses of spider mechanisms in various fields.
― 6 min read
Exploring the transformations and properties of rational surfaces in mathematics.
― 6 min read
Exploring the connection between ADO invariants and fibred links in knot theory.
― 7 min read
A look into how links are classified using local moves and invariants.
― 7 min read
Learn how essential triangulations in 3D can relate through various moves.
― 6 min read
Explore the structure and properties of triangle groups in mathematics.
― 5 min read
A look at how scalar curvature affects manifold geometry and metrics.
― 5 min read
An overview of geometric concepts and their implications in various fields.
― 6 min read
Exploring the relationships between theta graphs and diffeomorphic mapping classes.
― 5 min read
A look at totally geodesic hypersurfaces in negatively curved geometry.
― 4 min read
A study on the unique characteristics of fibered ribbon pretzel knots.
― 5 min read
An overview of contact cut graphs and related invariants in geometry.
― 6 min read
Exploring the study of surfaces in geometry and topology.
― 6 min read
A unique perspective on the relationship between prime numbers and knots in mathematics.
― 5 min read
This article examines end-periodic homeomorphisms and their mapping tori in topology.
― 6 min read
Exploring the connections between stuck links and RNA folding using algebraic structures.
― 5 min read
A look into the figure-eight knot and its geometric features.
― 7 min read
This study expands dimer models and explores complex surfaces using the web trace theorem.
― 7 min read
Exploring girth in groups acting on CAT(0) cube complexes.
― 4 min read
Exploring the connections between dance techniques and mathematical concepts.
― 6 min read
Exploring the relationship between perfect matchings, dimer face polynomials, and knot theory.
― 4 min read
Learn about small covers, their properties, and connections to links and knots.
― 5 min read
New methods using graphs simplify the computation of knot polynomials.
― 6 min read
Learn about endperiodic maps and their role in understanding graph behavior.
― 6 min read
This article investigates angle structures and their significance in hyperbolic manifolds.
― 6 min read
Discover the unique properties and intersections of Lagrangian submanifolds.
― 5 min read
This paper examines the role of RL in solving the Andrews-Curtis conjecture.
― 7 min read
This article discusses the significance of link invariants, focusing on the Bénard-Conway invariant.
― 5 min read
An overview of structures and classifications within SU(2)-abelian graph manifolds.
― 6 min read
A look into the concepts of hyperbolic string field theory and its implications.
― 6 min read
Explore the links between shapes, transformations, and algebraic structures in mathematics.
― 5 min read
Exploring the relationships between groups and manifolds through the Nielsen realization problem.
― 6 min read
Explore the link between cabled knots and their classification.
― 5 min read
A look into simplicial arrangements and their unique properties.
― 5 min read
Exploring free circle actions and their implications on connected manifolds.
― 6 min read