Dichromatic state sum models for four-manifolds from pivotal functors

DOI10.1007/s00220-017-3012-9zbMath1414.57017arXiv1601.03580OpenAlexW2232948740WikidataQ59607582 ScholiaQ59607582MaRDI QIDQ1650146

Manuel Bärenz, John W. Barrett

Publication date: 2 July 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03580

zbMATH Keywords

quantum gravity4-manifoldsfusion categoryhandle decompositionBroda invariantsCrane-Yetterdichromatic invariantframed link diagramKirbyPetit's invariant

Mathematics Subject Classification ID

Related Items (10)

From 3D topological quantum field theories to 4D models with defects ⋮ Hamiltonian models for topological phases of matter in three spatial dimensions ⋮ Semisimple four‐dimensional topological field theories cannot detect exotic smooth structure ⋮ Evaluating TQFT invariants from \(G\)-crossed braided spherical fusion categories via Kirby diagrams with 3-handles ⋮ 4-manifold invariants from Hopf algebras ⋮ Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs ⋮ Holographic description of boundary gravitons in (3+1) dimensions ⋮ Invertible braided tensor categories ⋮ \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces ⋮ Four-manifolds up to connected sum with complex projective planes

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