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On Algebraic Structures Implicit in Topological Quantum Field Theories

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra q-alg

Abstract

We show that reasonably well behaved 3d and 4D TQFts must contain certain algebraic structures. In 4D, we find both Hopf categories and trialgebras.

Keywords

Cite

@article{arxiv.hep-th/9412025,
  title  = {On Algebraic Structures Implicit in Topological Quantum Field Theories},
  author = {L. Crane and D. Yetter},
  journal= {arXiv preprint arXiv:hep-th/9412025},
  year   = {2008}
}

Comments

Latex document. Hand drawn figures on request

R2 v1 2026-07-22T15:52:45.124Z