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.
Low Dimensional Topology and Circle-valued Morse Functions
Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.
Low Dimensional Topology and Circle-valued Morse Functions
Explore singular fibrations in knot exteriors and their extensions over handlebodies, connecting handle-ribbon knots to circular Morse functions in low-dimensional topology.
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.
From Knots to Symplectic Geometry and Algebra
Explore connections between knot theory, symplectic geometry, and algebra through innovative mathematical concepts and techniques in this advanced mathematical lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 1
Explore Chern-Simons field theory invariants and their applications to knots, links, and three-manifolds in this advanced mathematics lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 2
Explore advanced concepts in Chern-Simons field theory, focusing on invariants of knots, links, and three-manifolds in this continuation lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 3
Explore Chern-Simons field theory invariants, focusing on knots, links, and three-manifolds in this advanced mathematical lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 4
Explore Chern-Simons field theory invariants, focusing on knots, links, and three-manifolds in this advanced mathematics lecture by Ramadevi Pichai.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 5
Explore Chern-Simons field theory invariants, focusing on knots, links, and three-manifolds in this advanced mathematics lecture by Ramadevi Pichai.
Quivers, 3D Gauge Theories and Three Manifolds
Explore connections between quivers, 3D gauge theories, and three-manifolds, uncovering relationships and equivalences in theoretical physics and geometry.
On the Energy and Helicity of Inflexional Magnetic Braids
Explore energy and helicity in inflexional magnetic braids, examining their properties and implications for astronomical phenomena.
Quantum Vortex Knots and Links under Zero Helicity Condition
Explore quantum vortex knots and links under zero helicity condition in this advanced mathematics lecture by Renzo Ricca.
Gauge Fields and Categorification of Quantum Group Invariants of 3-Manifolds
Explore new link and 3-manifold invariants associated with Verma modules of U_q(sl_N), their properties, and potential categorification in 3-manifold homology.
A Topological Route to Superfluid Turbulence
Explore topological approaches to superfluid turbulence in this advanced fluid mechanics webinar, delving into cutting-edge research and theoretical concepts.
Hopf Arborescent Links, Minor Theory, and Decidability of the Genus Defect
Delve into advanced topological concepts exploring Hopf arborescent links, examining their four-dimensional properties and computational aspects of genus defects through minor theory and well-quasi-orders.
Mathematical Knot Surfaces and Their Properties
Explore the fascinating intersection of mathematics and crochet as experts Sophie Maclean and Ayliean MacDonald demonstrate how knot theory relates to surfaces and topology through hands-on examples.