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#Khovanov Homology

Showing: 17 courses
International Centre for Theoretical Sciences

Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi

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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.
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56 Lesons
1 hour 11 minutes
On-Demand
Free-Video
QuantumTopology

Khovanov Homology for Knots in Thickened Torus

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Explore Khovanov homology for knots in thickened torus, delving into advanced topological concepts and their applications in quantum topology.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
ICTP Mathematics

Khovanov Homology and Strongly Invertible Knots

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Explore Khovanov homology's applications to strongly invertible knots, uncovering new insights in knot theory and topology.
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1 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

Classification of Link Floer and Khovanov Multicurve Invariants

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Explore the classification of link Floer and Khovanov multicurve invariants in topology, presented by Claudius Zibrowius from the University of Regensburg.
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1 Lesons
53 minutes
On-Demand
Free-Video
QuantumTopology

Knot Invariants Arising from Homological Operations on Khovanov Homology

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Explore advanced knot theory through homological operations on Khovanov homology, uncovering new invariants and their applications in quantum topology.
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1 Lesons
50 minutes
On-Demand
Free-Video
Dublin Institute for Advanced Studies DIAS

Learning 4-Dimensional Knot Invariants from the Jones Polynomial

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Explore machine learning techniques in knot theory, focusing on learning 4D topological invariants from the Jones polynomial and their implications for understanding knot structures.
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1 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Khovanov Homology and the Cinquefoil

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Explore Khovanov homology's detection of the (2,5) torus knot through advanced Floer homology and recent developments in knot theory.
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1 Lesons
59 minutes
On-Demand
Free-Video
Banach Center

Link Homology and How to Compute It - Part 2

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Explore advanced techniques for computing link homology, building on foundational concepts to deepen understanding of topological invariants in knot theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
Banach Center

Link Homology and How to Compute It - Part 1

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Explore link homology computation techniques and foundational concepts in this comprehensive mathematical lecture by Matt Hogancamp from Northeastern University.
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1 Lesons
48 minutes
On-Demand
Free-Video
Banach Center

Link Homology and How to Compute It - Part 4

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Explore advanced concepts in link homology computation, focusing on cutting-edge techniques and theoretical foundations presented by Matt Hogancamp from Northeastern University.
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1 Lesons
49 minutes
On-Demand
Free-Video
Banach Center

Detecting Positivity from Link Homology

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Explore Khovanov homology's applications in detecting link positivity and its extension to fibered positive links and L-space knots.
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1 Lesons
58 minutes
On-Demand
Free-Video
Banach Center

Bordered Floer Theory, Hochschild Homology, and Links in S^1 × S^2

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Explore spectral sequences linking Khovanov homology to Heegaard Floer homology and their analogues for links in S^1×S^2, involving bordered Floer theory and Hochschild homology.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Banach Center

Link Homology and How to Compute It - Part 3

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Explore advanced techniques for computing link homology, delving into complex mathematical concepts and methodologies in topology and knot theory.
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1 Lesons
48 minutes
On-Demand
Free-Video
QuantumTopology

V. Tarkaev - Construction of the Khovanov Homology

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Explore the construction of Khovanov homology, a powerful invariant in knot theory, and its applications in quantum topology and low-dimensional manifolds.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
IMSA

Low Dimensional Topology and Circle-valued Morse Functions

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Explore Khovanov homology of torus braids, characterizing simplified complexes and their applications in quantum topology. Gain insights into recent advancements and conjectures in low-dimensional topology.
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16 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Low Dimensional Topology & Circle-valued Morse Functions

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Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.
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1 Lesons
57 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Khovanov Homology and Surfaces in Four-Manifolds

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Explore Khovanov homology, exotic smooth structures, and surfaces in four-manifolds. Discover applications in gauge theory and new approaches to longstanding mathematical problems.
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27 Lesons
53 minutes
On-Demand
Free-Video