Stable Maps and Branched Shadows of 3-Manifolds
Explore stable maps and branched shadows in 3-manifolds, delving into advanced concepts in quantum topology and geometric structures.
Additive Posets, CW-Complexes, and Graphs
Explore additive posets, CW-complexes, and graphs in topology with renowned mathematician V.G. Turaev, delving into advanced concepts and their interconnections.
On the Hurwitz Existence Problem for Branched Covers Between Surfaces
Explore the Hurwitz existence problem for branched covers between surfaces, delving into mathematical concepts and theories related to topology and surface geometry.
The Spaces of Non Contractible Closed Curves in Compact Space Forms
Explore non-contractible closed curves in compact space forms, delving into advanced mathematical concepts and their applications in quantum topology.
Turaev Viro Invariants and Complexity of Virtual 3-Manifolds
Explore Turaev-Viro invariants and their application in determining complexity of virtual 3-manifolds, advancing understanding in quantum topology and geometric structures.
On Volumes of Compact and Non-Compact Right-Angled Hyperbolic Polyhedra
Explore the mathematical intricacies of right-angled hyperbolic polyhedra, examining volume calculations for both compact and non-compact forms in this advanced geometry lecture.
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.
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.
Linking Numbers in Non-Orientable 3 Manifolds
Explore linking numbers in non-orientable 3-manifolds, delving into advanced topological concepts and their applications in quantum theory and mathematical physics.
A. Akimova - Homologically Trivial Knots in Thickened Surfaces
Explore homologically trivial knots in thickened surfaces, examining their properties and implications for quantum topology research.
Non-Orientable Seifert Manifolds
Explore non-orientable Seifert manifolds in this advanced topology lecture, delving into complex mathematical concepts and their implications in quantum topology research.
Ph. Kirablev - Combinatorial Description of Heegaard Floer Homology
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.
E. Fominykh - On a Series of Tetrahedral Manifolds
Explore tetrahedral manifolds in quantum topology, examining their properties and implications for mathematical research and applications in related fields.
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.
Ph. Korablev - Skein-Invariants of 3-Manifolds
Explore skein-invariants of 3-manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum topology.
Calculation of Casson Invariant for 3-Manifolds
Explore the calculation methods for Casson invariant in 3-manifolds, a crucial topological invariant in low-dimensional topology and knot theory.
A. Gaifullin - Analytic Continuation of the Volume of Hyperbolic Tetrahedron
Explore the mathematical concept of analytic continuation applied to hyperbolic tetrahedron volumes, delving into advanced geometric and topological theories.
On Matveev’s Complexity of Classical and Virtual 3 Manifolds
Explore Matveev's complexity theory for classical and virtual 3-manifolds, delving into advanced topological concepts and their applications in quantum topology.
Convex Surfaces and Rectangular Diagrams
Explore convex surfaces and rectangular diagrams in topology with Ivan Dynnikov's insightful lecture on advanced mathematical concepts and their applications.
A Census of Tetrahedral Hyperbolic Manifolds and Links
Explore tetrahedral hyperbolic manifolds and links, uncovering their properties and classifications in this comprehensive mathematical analysis.
Branched Coverings and Harmonic Automorphisms of Graphs
Explore branched coverings and harmonic automorphisms of graphs with Alexander Mednykh, delving into advanced mathematical concepts and their applications in quantum topology.