
Explore linking numbers in non-orientable 3-manifolds, delving into advanced topological concepts and their applications in quantum theory and mathematical physics.

Explore homologically trivial knots in thickened surfaces, examining their properties and implications for quantum topology research.

Explore non-orientable Seifert manifolds in this advanced topology lecture, delving into complex mathematical concepts and their implications in quantum topology research.

Explore combinatorial approaches to Heegaard Floer homology, a powerful invariant in low-dimensional topology, with insights from Ph. Kirablev's lecture on advanced mathematical techniques.

Explore tetrahedral manifolds in quantum topology, examining their properties and implications for mathematical research and applications in related fields.

Explore homologically trivial knots in quantum topology, delving into advanced mathematical concepts and their implications for knot theory and related fields.

Explore skein-invariants of 3-manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum topology.

Explore the calculation methods for Casson invariant in 3-manifolds, a crucial topological invariant in low-dimensional topology and knot theory.

Explore Matveev's complexity theory for classical and virtual 3-manifolds, delving into advanced topological concepts and their applications in quantum topology.

Explore convex surfaces and rectangular diagrams in topology with Ivan Dynnikov's insightful lecture on advanced mathematical concepts and their applications.

Explore tetrahedral hyperbolic manifolds and links, uncovering their properties and classifications in this comprehensive mathematical analysis.

Explore branched coverings and harmonic automorphisms of graphs with Alexander Mednykh, delving into advanced mathematical concepts and their applications in quantum topology.

Explore Lagrangian Floer theory for traceless SU2 character varieties of tangles, delving into advanced concepts in quantum topology and geometric representation theory.

Explore fundamental properties of skein algebras of surfaces with Adam Sikora in this insightful one-hour lecture on quantum topology.

Explore topological field theories with defects and their connections to representation theory in this advanced physics lecture by Christoph Schweigert.

Explore the Bellows conjecture in odd-dimensional Lobachevsky spaces with Alexander Gaifullin, delving into advanced mathematical concepts and geometric theories.

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.

Explore complexity and invariants in knot diagrams, curves, and surfaces with Tahl Nowik. Gain insights into advanced topological concepts and their applications in quantum topology.

Explore the fascinating realm of large random spaces and their topological properties in this insightful lecture by mathematician Michael Farber.

Explore knotoids as cobordisms in this advanced topology lecture, delving into mathematical concepts and their applications in quantum theory and knot theory.

Explore Penner coordinates for closed surfaces, delving into mathematical concepts and applications in quantum topology.