The non-commutative geometry of defects

John Barrett (University of Nottingham)

Tuesday 26th November, 2019 14:00-15:00 Maths 311B


A diagrammatic calculus is introduced for non-commutative geometry in the form of a finite real spectral triple. This calculus provides a quantum invariant of surfaces with spin structure and defect lines. There are two sorts of defect lines, those labelled with the Hilbert space of the non-commutative geometry and those labelled with data that determine a Dirac operator. The axioms of non-commutative geometry follow from the topological properties of defect lines.

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