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Knot Theory

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QuantumTopology
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.
- YouTube
- 1 hour 36 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 45 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 50 minutes
- On-Demand
- Free Video
QuantumTopology
A. Akimova - Homologically Trivial Knots in Thickened Surfaces

Explore homologically trivial knots in thickened surfaces, examining their properties and implications for quantum topology research.
- YouTube
- 1 hour 31 minutes
- On-Demand
- Free Video
QuantumTopology
Conjugation of Global Knots

Explore the mathematical concept of conjugation in global knots, delving into advanced topological theories and their applications in quantum mechanics.
- YouTube
- 1 hour 8 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 1 hour 23 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 1 hour 19 minutes
- On-Demand
- Free Video
QuantumTopology
HOMFLY Polynomial for Rational Knots

Explore the HOMFLY polynomial's application to rational knots, delving into advanced knot theory concepts and their mathematical implications.
- YouTube
- 1 hour 34 minutes
- On-Demand
- Free Video
QuantumTopology
Cocyclic Invariants of Knots

Explore cocyclic invariants of knots, delving into advanced mathematical concepts and their applications in quantum topology.
- YouTube
- 1 hour 30 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 46 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 56 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 59 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 1 hour 18 minutes
- On-Demand
- Free Video
QuantumTopology
Ph. Korablev - Quantum Invariants of Knots

Explore quantum invariants of knots, delving into advanced mathematical concepts and their applications in topology and quantum mechanics.
- YouTube
- 1 hour 26 minutes
- On-Demand
- Free Video
QuantumTopology
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.
- YouTube
- 52 minutes
- On-Demand
- Free Video

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