Notes on Topological Quantum Field Theories
From MaRDI portal
Publication:5234872
DOI10.5802/wbln.7zbMath1423.81169OpenAlexW2465560216MaRDI QIDQ5234872
Publication date: 7 October 2019
Published in: Winter Braids Lecture Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/wbln.7
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Topological field theories in quantum mechanics (81T45) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Cites Work
- Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
- Multicurves and regular functions on the representation variety of a surface in \(SU(2)\)
- Topological quantum field theories
- New proofs of some results of Nielsen
- Topological quantum field theory
- Quantum field theory and the Jones polynomial
- Three-manifolds and the Temperley-Lieb algebra
- Three-manifold invariants derived from the Kauffman bracket
- The partition function of degenerate quadratic functional and Ray-Singer invariants
- On the TQFT representations of the mapping class groups
- Skeins and handlebodies
- 3-valent graphs and the Kauffman bracket
- Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
- Quantum \(SU(2)\) faithfully detects mapping class groups modulo center
- Topological quantum field theories derived from the Kauffman bracket
- Pseudo-isotopies of 3-manifolds
- Invariants of 3-manifolds via link polynomials and quantum groups
- Reducibility of quantum representations of mapping class groups
- Some asymptotics of topological quantum field theory via skein theory
- Asymptotic faithfulness of the quantum \(\text{SU}(n)\) representations of the mapping class groups
- An analytic family of representations for the mapping class group of punctured surfaces
- Curves von 2-manifolds and isotopies
- Maslov index, lagrangians, mapping class groups and TQFT
- Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
- Extra structure and the universal construction for the Witten-Reshetikhin-Turaev TQFT
- Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$
- A New Proof that Ω3 is Zero
- Skein quantization of Poisson algebras of loops on surfaces
- On the Witten-Reshetikhin-Turaev representations of mapping class groups
- Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
- TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
- IRREDUCIBILITY OF SOME QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS
- LIMITS OF THE QUANTUM SO(3) REPRESENTATIONS FOR THE ONE-HOLED TORUS
- Integral lattices in TQFT
- Quantum invariants of knots and 3-manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
