Cited by 76Geometric and Algebraic TopologyHomotopy and Cohomology in Algebraic TopologyAlgebraic structures and combinatorial models

Four-dimensional BF theory as a topological quantum field theory

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Baez, John C.·1996·Letters in Mathematical Physics

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Crossref · 10.1007/bf00398315

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  • The author has argued [12] that the Crane-Yetter model is a discrete formulation of BF theory with a cosmological term, i.e. with the action given by ∫M tr E∧F + (1/12) E∧E, where the deformation parameter q is a function of the cosmological constant Λ.

    “The author has argued [12] that the Crane-Yetter model is a discrete formulation of BF theory with a cosmological term, i.e. with the action given by M tr E ∧ F + 1 12 E ∧ E , where the deformation parameter q is a function of the cosmological constant .”

    From Spin foam models (1998) · cites this paper as [12]

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Research works printed but not linked: 5

  1. [2][2] M. Atiyah, Topological quantum field theories, Inst. Hautes ´ Etudes Sci. Publ. Math. 68 (1988), 175- 186. -
  2. [4][4] J. Barrett and B. Westbury, Spherical categories, preprint available as hepth/9310164. -
  3. [8][8] B. Broda, Surgical invariants of 4-manifolds, Proceedings of the Conference on Quantum Topology, ed. D. Yetter, World Scientific, Singapore, 1994. -
  4. [23][23] V. Turaev, Topology of shadows, preprint. -
  5. [25][25] K. Walker, On Witten's 3-manifold invariants, preprint. -

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Authors
Baez, J. C.
Affiliations
University of California, Riverside (US)
Corresponding author
Baez, John C.
Venue
Letters in Mathematical Physics
Published
1996-10
Volume
38
Issue
2
Pages
129-143
ISSN
  • 0377-9017 (ISSN-L)
  • 1573-0530
OpenAlex
W2949515049
Cited by
75
References
27
Citations by year
2026: 1 · 2025: 4 · 2024: 1 · 2023: 1 · 2022: 4 · 2021: 3 · 2020: 6 · 2019: 2 · 2018: 1 · 2017: 5 · 2016: 3 · 2015: 4 · 2014: 1 · 2012: 2
FWCI
5.21
Type
journal article
Language
en
Open access
Locations
  • Letters in Mathematical Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
  • Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
Keywords
BF theory, topological field theory, 4-manifolds, principal bundles, frame bundle, signature, state sum models, partition function, cosmological term

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