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Quantum Gauge Field Theory in Cohesive Homotopy Type Theory

Mathematical Physics 2014-08-04 v1 Logic in Computer Science Category Theory math.MP

Abstract

We implement in the formal language of homotopy type theory a new set of axioms called cohesion. Then we indicate how the resulting cohesive homotopy type theory naturally serves as a formal foundation for central concepts in quantum gauge field theory. This is a brief survey of work by the authors developed in detail elsewhere.

Keywords

Cite

@article{arxiv.1408.0054,
  title  = {Quantum Gauge Field Theory in Cohesive Homotopy Type Theory},
  author = {Urs Schreiber and Michael Shulman},
  journal= {arXiv preprint arXiv:1408.0054},
  year   = {2014}
}

Comments

In Proceedings QPL 2012, arXiv:1407.8427