HOMFLY Polynomial for Rational Knots
Explore the HOMFLY polynomial's application to rational knots, delving into advanced knot theory concepts and their mathematical implications.
Cocyclic Invariants of Knots
Explore cocyclic invariants of knots, delving into advanced mathematical concepts and their applications in quantum topology.
On the Number of Non Hyperbolic Knots
Explore the intriguing world of non-hyperbolic knots with Andrei Malyutin's in-depth analysis, offering insights into their quantity and mathematical properties.
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.
Homology of Yang-Baxter Operators and Search for (Co)Cycle Invariants of Knots
Explore homology of Yang-Baxter operators and the quest for (co)cycle invariants in knot theory with mathematician Jozef Przytycki in this advanced topology lecture.
Y. Ilyina - Invariants of Knotoids
Explore invariants of knotoids, a mathematical concept in knot theory, with Y. Ilyina's in-depth presentation on quantum topology and its applications.
Ph. Korablev - Quantum Invariants of Knots
Explore quantum invariants of knots, delving into advanced mathematical concepts and their applications in topology and quantum mechanics.
V. Tarkaev - The Complexity of an Infinite Series of Knots in the Thickened Torus
Explore the intricacies of knot theory as V. Tarkaev delves into the complexity of infinite knot series within a thickened torus, offering insights into advanced topological concepts.
A. Akimova - Classification of Prime Virtual Knots of Genus 1 With Low Complexity
Classification methods for prime virtual knots of genus 1, focusing on those with low complexity. Explores advanced concepts in knot theory and topology.
HOMFLY Polynomials for Virtual Knots
Explore HOMFLY polynomials for virtual knots, delving into advanced concepts in quantum topology and knot theory.
A Normal Form for Highly Twisted Knots
Explore a novel normal form for highly twisted knots, delving into advanced concepts in quantum topology and knot theory.
Classification of Prime Genus 1 Virtual Knots of Low Complexity
Explore prime genus 1 virtual knots of low complexity, their classification methods, and implications in quantum topology with A. Akimova's in-depth analysis.
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.
Knots and Surfaces - Seifert Surfaces in Algebraic Topology - Lecture 2
Explore Seifert surfaces, their construction for knots like the trefoil, and learn about Euler numbers for surfaces with boundaries in this advanced algebraic topology lecture.
Constructing Knots with Specified Geometric Limits
Explore constructive proofs for geometric limits of knot complements using circle packings on conformal boundaries of tame hyperbolic 3-manifolds, with insights on related open questions.
Geometric Objects Associated to Planar Bipartite Graphs
Explore topological and geometric data associated with planar bipartite graphs, including knots, cluster varieties, and critical varieties, and their interconnections.
Knot Theory in Mathematics and AI Applications
Explore the fascinating world of knot theory and its connections to mathematics and AI in this engaging talk by Ernesto Lupercio from CINVESTAV.
Introduction to Chern Simons Theory and Topology
Explore Chern Simons Theory and its connections to topology with renowned physicist Edward Witten in this advanced workshop on quantum information and physics.
Topological Problems Associated with DNA Nanostructures
Explore topological challenges in DNA nanostructures, from graph theory in strand routing to knot theory in 3D embeddings. Gain insights into the emerging field of DNA mathematics and its applications.
Learning 4-Dimensional Knot Invariants from the Jones Polynomial
Explore machine learning techniques in knot theory, focusing on learning 4D topological invariants from the Jones polynomial and their implications for understanding knot structures.
Exponential Networks and DT Invariants
Explore exponential networks and Donaldson-Thomas invariants in this advanced mathematics lecture, delving into complex algebraic structures and topological insights.