Factorization Homology and 4D TQFT

Abstract

In [BK], it is shown that the Turaev-Viro invariants defined for a spherical fusion category $\mathcal{A}$ extends to invariants of 3-manifolds with corners. In [Kir], an equivalent formulation for the 2-1 part of the theory (2-manifolds with boundary) is described using the space of "stringnets with boundary conditions" as the vector spaces associated to 2-manifolds with boundary. Here we construct a similar theory for the 3-2 part of the 4-3-2 theory in [CY1993].

34 pages

References in corpus (4)

• Turaev-Viro invariants as an extended TQFT
• String-net model of Turaev-Viro invariants
• Excision of Skein Categories and Factorisation Homology
• Turaev-Viro invariants as an extended TQFT II

Cited by in corpus (6)

• Invertible braided tensor categories
• Reduced Tensor Product on the Drinfeld Center
• On the Category of Boundary Values in the Extended Crane-Yetter TQFT
• Higher Rank Askey-Wilson Algebras as Skein Algebras
• Categorical Center of Higher Genera and 4D Factorization Homology
• Equivalence of field theories: Crane-Yetter and the shadow