On the Lego-Teichmüller game
From MaRDI portal
Publication:1585990
DOI10.1007/BF01679714zbMath0999.57021arXivmath/9809057OpenAlexW2090614475MaRDI QIDQ1585990
Alexander A. jun. Kirillov, Bojko Bakalov
Publication date: 2 December 2002
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9809057
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) General low-dimensional topology (57M99) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32)
Related Items
Ratio coordinates for higher Teichmüller spaces, The logarithmic Cardy case: boundary states and annuli, The complex of pant decompositions of a surface, TFT construction of RCFT correlators. IV: Structure constants and correlation functions, Irreducible self-adjoint representations of quantum Teichmüller space and the phase constants, Universal dynamics of heavy operators in boundary \(\mathrm{CFT}_2\), The differential graded Verlinde formula and the Deligne Conjecture, A \(G\)-equivariant string-net construction, The three-dimensional origin of the classifying algebra, Universal dynamics of heavy operators in \(\mathrm{CFT}_2\), A geometric construction for permutation equivariant categories from modular functors, Topological defect lines and renormalization group flows in two dimensions, Consistent systems of correlators in non-semisimple conformal field theory, Cardy condition for open-closed field algebras, Cardy algebras and sewing constraints. II, The braided Ptolemy-Thompson group is finitely presented., Automorphisms of trivalent graphs, CFT correlators for Cardy bulk fields via string-net models, Supersymmetric Gauge Theories, Quantization of $${\mathcal M}_\mathrm{flat}$$ , and Conformal Field Theory, An infinite genus mapping class group and stable cohomology, Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories, ON THE RELATION BETWEEN QUANTUM LIOUVILLE THEORY AND THE QUANTIZED TEICHMÜLLER SPACES, The Hochschild complex of a finite tensor category, Construction of two-dimensional topological field theories with non-invertible symmetries, Boundary and defect CFT: open problems and applications
Cites Work
- A simple presentation for the mapping class group of an orientable surface
- The second homology group of the mapping class group of an orientable surface
- Classical and quantum conformal field theory
- A presentation for the mapping class group of a closed orientable surface
- A presentation of the mapping class groups
- Presentation and central extensions of mapping class groups
- On the Teichmüller tower of mapping class groups
- Quantum invariants of knots and 3-manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item