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Towards Noncommutative Topological Quantum Field Theory: New invariants for 3-manifolds

Mathematical Physics 2017-01-24 v1 High Energy Physics - Theory Differential Geometry math.MP

Abstract

We define some new invariants for 3-manifolds using the space of taut codim-1 foliations along with various techniques from noncommutative geometry. These invariants originate from our attempt to generalise Topological Quantum Field Theories in the Noncommutative geometry / topology realm.

Keywords

Cite

@article{arxiv.1701.05424,
  title  = {Towards Noncommutative Topological Quantum Field Theory: New invariants for 3-manifolds},
  author = {Ioannis P. Zois},
  journal= {arXiv preprint arXiv:1701.05424},
  year   = {2017}
}

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7 pages