• Corpus ID: 220381083

Universal construction of topological theories in two dimensions

@article{Khovanov2020UniversalCO,
  title={Universal construction of topological theories in two dimensions},
  author={Mikhail Khovanov},
  journal={arXiv: Quantum Algebra},
  year={2020}
}
  • M. Khovanov
  • Published 7 July 2020
  • Mathematics
  • arXiv: Quantum Algebra
We consider Blanchet, Habegger, Masbaum and Vogel's universal construction of topological theories in dimension two, using it to produce interesting theories that do not satisfy the usual two-dimensional TQFT axioms. Kronecker's characterization of rational functions allows us to classify theories over a field with finite-dimensional state spaces and introduce their extension to theories with the ground ring the product of rings of symmetric functions in N and M variables. We look at several… 

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