State-Sum Invariants of 4-Manifolds
From MaRDI portal
Publication:4351683
DOI10.1142/S0218216597000145zbMath0883.57021arXivhep-th/9409167MaRDI QIDQ4351683
Louis H. Kauffman, Louis Crane, David N. Yetter
Publication date: 23 March 1998
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9409167
Related Items
Relativistic spin networks and quantum gravity ⋮ Unnamed Item ⋮ From gauge to higher gauge models of topological phases ⋮ GENERALIZED BARRETT–CRANE VERTICES AND INVARIANTS OF EMBEDDED GRAPHS ⋮ Edge dynamics from the path integral -- Maxwell and Yang-Mills ⋮ Tori detect invertibility of topological field theories ⋮ Dichromatic state sum models for four-manifolds from pivotal functors ⋮ Reduced tensor product on the Drinfeld center ⋮ Hamiltonian models for topological phases of matter in three spatial dimensions ⋮ Four-dimensional \(BF\) theory as a topological quantum field theory ⋮ Non-perturbative 3D quantum gravity: quantum boundary states and exact partition function ⋮ Semisimple four‐dimensional topological field theories cannot detect exotic smooth structure ⋮ Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models ⋮ The finiteness conjecture for skein modules ⋮ Evaluating TQFT invariants from \(G\)-crossed braided spherical fusion categories via Kirby diagrams with 3-handles ⋮ 4-manifold invariants from Hopf algebras ⋮ 6D Interpretation of 3D Gravity ⋮ Invariants of 4-manifolds from Khovanov-Rozansky link homology ⋮ Fermionic SPT phases in higher dimensions and bosonization ⋮ Tetrahedal Geometry from Areas ⋮ The Holst spin foam model via cubulations ⋮ Nonconstant hexagon relations and their cohomology ⋮ Observables in the Turaev-Viro and Crane-Yetter models ⋮ NEW SPIN FOAM MODELS OF QUANTUM GRAVITY ⋮ Invertible braided tensor categories ⋮ The century of the incomplete revolution: Searching for general relativistic quantum field theory ⋮ \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces ⋮ A spin foam model without bubble divergences ⋮ Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space ⋮ 4-dimensional BF gravity on the lattice ⋮ Area Regge calculus and continuum limit ⋮ Four-dimensional lattice gauge theory with ribbon categories and the Crane–Yetter state sum ⋮ Quantum Field Theory of Open Spin Networks and New Spin Foam Models ⋮ On relativistic spin network vertices ⋮ 4-d Chern-Simons theory: higher gauge symmetry and holographic aspects ⋮ Generalized lattice gauge theory, spin foams and state sum invariants ⋮ On 2-form gauge models of topological phases ⋮ Boundary topological entanglement entropy in two and three dimensions ⋮ Spherical 2-categories and 4-manifold invariants ⋮ A 2-categorical state sum model ⋮ Finite groups, spherical 2-categories, and 4-manifold invariants ⋮ The degrees of freedom of area Regge calculus: dynamics, non-metricity, and broken diffeomorphisms ⋮ Noncommutativity and discrete physics. ⋮ On dualizability of braided tensor categories ⋮ Structures and diagrammatics of four dimensional topological lattice field theories ⋮ Quantum deformation of two four-dimensional spin foam models ⋮ Hierarchies of invariant spin models ⋮ Causal sites as quantum geometry ⋮ 4-dimensional spin-foam model with quantum Lorentz group ⋮ The spin-foam approach to quantum gravity ⋮ Renormalization of discrete models without background
This page was built for publication: State-Sum Invariants of 4-Manifolds