The Shape of Relations: Knots and Other Stories in Topological Data Analysis
Explore the fascinating world of Topological Data Analysis in this 59-minute conference talk by Radmila Sazdanovic, presented by the Applied Algebraic Topology Network. Discover how TDA tools can uncover relevant features in data by analyzing the shape o…
25.03.2020 Ф.Г. Кораблёв - Автоморфизмы раскрасок и инварианты узлов
Исследование автоморфизмов раскрасок и их связи с инвариантами узлов в топологии. Анализ современных методов и подходов в этой области математики.
A Álgebra de Nós
Explore a fascinante álgebra de nós com o pesquisador Jethro van Ekeren. Descubra como essa área da matemática conecta topologia e álgebra, revelando insights surpreendentes sobre estruturas geométricas.
Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi
Explore knot polynomials, Chern-Simons theory, and string theory connections. Learn about knot classification, invariants, homology, and gauge-string duality in topological strings. Discover M-theory descriptions and brane constructions.
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.
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.
Matroids, Delta Matroids, and Knot Invariants
Explore matroids, delta matroids, and their applications in knot theory with Sergei Lando. Gain insights into these mathematical structures and their role in understanding knot invariants.
Hans Boden, McMaster University - Virtual Knots and Algebraic Concordance
Explore virtual knots, concordance groups, and new invariants using mock Seifert matrices. Discover algebraic structures and open problems in knot theory.
Khovanov Homology and the Cinquefoil
Explore Khovanov homology's detection of the (2,5) torus knot through advanced Floer homology and recent developments in knot theory.
Knots, Topological Strings and Quivers
Explore knot invariants, their role in topological string theory, and the knot-quiver correspondence in advanced mathematical physics.
Knot Invariants from Finite Dimensional Integration
Explore finite dimensional integration for computing powerful knot invariants, surpassing traditional methods in efficiency and rigor while challenging established notions in knot theory.
Knots and Categories
Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.
Knot Invariants and Hyperbolic Flows
Explore knot invariants and hyperbolic flows in this advanced mathematics talk by Northwestern researcher Solly Coles.
Character Varieties of Tangles and Singular Instanton Homology
Explore character varieties of tangles and singular instanton homology. Investigate Lagrangian Floer theory for knot study, examining tangle sums and their implications for knot invariants.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.