Quasipositive Surfaces and Decomposable Lagrangians in Topology - IMSA Seminar
Explore Legendrian links, knot Floer homology, and Lagrangian link cobordisms in topology. Learn about braiding techniques and the comultiplication property in this advanced mathematical seminar.
Symmetric Unions and Ribbon Knots
Explore symmetric unions in knot theory, focusing on ribbon knots. Learn about classification, composite types, and infinite families of ribbon knots that defy simple symmetric union diagrams.
Welded Tangles and a Topological Interpretation of the Kashiwara-Vergne Group
Explores welded tangles and foams as higher-dimensional knot theory, connecting their automorphisms to the Kashiwara-Vergne group in Lie theory and relating to knot invariants and Baker-Campbell-Hausdorff series.
The Average Genus of a 2-Bridge Knot Grows Linearly with Respect to Crossing Number
Explore the linear growth relationship between Seifert genus and crossing number in 2-bridge knots using Chebyshev billiard table diagrams, building on previous research and experimental data.
Braidings and Braid Equivalences
Explore braiding algorithms and braid equivalences for various knot types, including classical, virtual, and singular, with a focus on knotoids and braidoids.
Alexander Polynomials of Algebraic Links
Explore Alexander polynomials of algebraic links, their definitions, examples, and connections to algebraic geometry. Discover the relationship between plane curve singularity spectra and link polynomials.
The Beauty of Braids - From Knot Invariants to Higher Categories
Explore the fascinating world of braids, knot invariants, and higher categories in mathematics with insights from renowned expert Catharina Stroppel.
Khovanov Homology for Knots in Thickened Torus
Explore Khovanov homology for knots in thickened torus, delving into advanced topological concepts and their applications in quantum topology.
From Knots to Number Theory I
Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Some Classical Invariants of Links and Their Higher-Dimensional Analogues
Explore geometric invariants of links and knots, including higher-dimensional analogues, with examples of non-trivial cases in ambient isotopy.
Khovanov Homology and Strongly Invertible Knots
Explore Khovanov homology's applications to strongly invertible knots, uncovering new insights in knot theory and topology.
Classification of Link Floer and Khovanov Multicurve Invariants
Explore the classification of link Floer and Khovanov multicurve invariants in topology, presented by Claudius Zibrowius from the University of Regensburg.
From Hall Algebras to Legendrian Skein Algebras
Explore the connection between Hall algebras and skein algebras, delving into legendrian knot theory and Fukaya categories of surfaces. Gain insights into cutting-edge mathematical research.
A. Malutin - On Domination of Hyperbolic Knots
Explore hyperbolic knot domination in topology, examining mathematical concepts and techniques for analyzing knot structures and their properties in hyperbolic space.
Colored Graphs and Complements of Knots and Links
Explore 4-colored graphs and their relationship to knot and link complements, delving into topological concepts and graph theory applications in knot theory.
Knot Invariants Arising from Homological Operations on Khovanov Homology
Explore advanced knot theory through homological operations on Khovanov homology, uncovering new invariants and their applications in quantum topology.
A. Akimova - Homologically Trivial Knots in Thickened Surfaces
Explore homologically trivial knots in thickened surfaces, examining their properties and implications for quantum topology research.
Conjugation of Global Knots
Explore the mathematical concept of conjugation in global knots, delving into advanced topological theories and their applications in quantum mechanics.
A. Akimova - Homologically Trivial Knots
Explore homologically trivial knots in quantum topology, delving into advanced mathematical concepts and their implications for knot theory and related fields.
Connections of Knotoids and Knots in Thickened Torus
Explore connections between knotoids and knots in thickened torus, delving into advanced concepts in quantum topology and geometric knot theory.
Ph. Korablev - Skein-Invariants of 3-Manifolds
Explore skein-invariants of 3-manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum topology.