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.
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.
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.
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.
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.
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.
Link Homology and How to Compute It - Part 2
Explore advanced techniques for computing link homology, building on foundational concepts to deepen understanding of topological invariants in knot theory.
Link Homology and How to Compute It - Part 1
Explore link homology computation techniques and foundational concepts in this comprehensive mathematical lecture by Matt Hogancamp from Northeastern University.
Link Homology and How to Compute It - Part 4
Explore advanced concepts in link homology computation, focusing on cutting-edge techniques and theoretical foundations presented by Matt Hogancamp from Northeastern University.
Detecting Positivity from Link Homology
Explore Khovanov homology's applications in detecting link positivity and its extension to fibered positive links and L-space knots.
Bordered Floer Theory, Hochschild Homology, and Links in S^1 × S^2
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.
Link Homology and How to Compute It - Part 3
Explore advanced techniques for computing link homology, delving into complex mathematical concepts and methodologies in topology and knot theory.
V. Tarkaev - Construction of the Khovanov Homology
Explore the construction of Khovanov homology, a powerful invariant in knot theory, and its applications in quantum topology and low-dimensional manifolds.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology & Circle-valued Morse Functions
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.
Khovanov Homology and Surfaces in Four-Manifolds
Explore Khovanov homology, exotic smooth structures, and surfaces in four-manifolds. Discover applications in gauge theory and new approaches to longstanding mathematical problems.