Published on *Max-Planck-Institut für Mathematik* (https://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Bas Janssens
Zugehörigkeit:

Utrecht
Datum:

Fre, 14/02/2014 - 11:00 - 12:00 There is a canonical way to assign to each loop on a Riemannian manifold a Hilbert space with a conformal net that acts on it. The failure of these Hilbert spaces to constitute a locally trivial bundle over loop space is measured by the curvature of the metric. We use higher geometry (2-groups and 2-bundles) to describe this situation and outline why the Connes fusion product of Hilbert spaces should extend to a fusion structure for the spinor bundle on loop space. This is work in progress.

**Links:**

[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/de/node/3444

[3] https://www.mpim-bonn.mpg.de/de/node/5119