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Ioannis P Zois

TRSC/PPC, Greece

Title: New invariants for 3-manifolds and non-commutative topological quantum field theories

Biography

Biography: Ioannis P Zois

Abstract

We define some new topological invariants for 3 manifolds using the moduli space of taut codim-1 foliations instead of the moduli space of flat connections. In order to construct the new topological invariants we use techniques from ordinary topology and from non-commutative geometry. This article is a sequel in our attempt to construct a non-commutative version of topological quantum field theories, the only known example of generally covariant quantum field theories.