Splitting Numbers and Signatures
Explore number theory and topology with a focus on splitting numbers, linking number bounds, and signature results in this advanced mathematical lecture.
Twisted Homology and Twisted Simplical Groups - Another Approach to Quantum Topology
Explore twisted homology and simplicial groups as alternative approaches to quantum topology, delving into advanced mathematical concepts and their applications.
Simplified Khovanov Rozansky Calculus
Explore simplified Khovanov Rozansky calculus with Andrey Morozov, delving into advanced quantum topology concepts and their applications in mathematical physics.
On a High Dimensional Generalization of Seifert Fibrations
Explore high-dimensional generalizations of Seifert fibrations, extending classical concepts to modern topological structures and manifolds.
3 Dimensional HQFTs
Explore 3-dimensional Homotopy Quantum Field Theories with Alexis Virelizier, delving into advanced mathematical concepts and their applications in quantum topology.
Re Normalized TQFTs
Explore re-normalized Topological Quantum Field Theories with Nathan Geer, delving into advanced concepts in quantum topology and mathematical physics.
The Thurston Norm of 3-Manifolds with a 2-Generator Fundamental Group
Explore the Thurston norm in 3-manifolds with 2-generator fundamental groups, delving into advanced concepts in quantum topology and geometric group theory.
The Kashaev Invariant, Nahm Sums and Modularity
Explore the Kashaev invariant, Nahm sums, and modularity in quantum topology, delving into advanced mathematical concepts and their applications.
Triangular Decomposition of Skein Algebras and Quantum Teichmuuller Spaces
Explore triangular decomposition of skein algebras and quantum Teichmuller spaces in this advanced mathematical lecture by Thang Le, delving into complex topological concepts.
E. Fominykh - Special Spines with Three 2-Components
Explore special spines with three 2-components in topology, focusing on their unique properties and applications in quantum theory and geometric structures.
A. Slepcov - Quantum Invariants of Knots and Their Properties
Explore quantum invariants of knots, their properties, and applications in topology. Gain insights into advanced mathematical concepts and their relevance in quantum theory.
Ph. Korablev - Yang-Baxter Operators and Invariants of Links
Explore Yang-Baxter operators and their applications in link invariants, delving into quantum topology concepts and mathematical techniques for analyzing knot structures.
On Complexity of Virtual Manifolds
Explore virtual manifolds' complexity, focusing on theoretical aspects and mathematical implications in quantum topology research.
Dijkgraaf-Witten Invariants Over Z2 for Twice Orientable Seifert Manifolds
Explore Dijkgraaf-Witten invariants over Z2 for twice orientable Seifert manifolds, delving into advanced concepts in quantum topology and manifold theory.
Matching Groups and Gliding Systems
Explore matching groups and gliding systems in topology, delving into advanced mathematical concepts and their applications in quantum mechanics and related fields.
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.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 3
Explore WRT invariants, Resurgence conjecture, and Teichmüller TQFT in quantum Chern-Simons theory, with detailed examples and new formulations.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 2/3
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT, with detailed examples and discussions.
Resurgence, Quantum Modularity and Quantum Invariants in Three-Manifolds
Explore resurgence in quantum Chern-Simons theory, connecting WRT quantum invariants to BPS q-series. Uncover complex Chern-Simons invariants and prove quantum modularity for Seifert fibered homology spheres.
Crystallization Can Create Chern Insulators
Explore how crystallization processes can lead to the formation of Chern insulators, a unique class of topological materials, in this advanced physics talk by Dan Parker from UCSD.
Derived Skein Modules via Factorization Homology
Explore derived skein modules through factorization homology, delving into categorical symmetries in quantum field theory.