Oslo Topology Seminar, 17th April 2007

Partly repeated at Analysis and Topology in Interation in Cortona, 17th June 2008

I shall describe how to construct the Dirac operator on suitable loop spaces (i.e., loop spaces of string manifolds). There are two important aspects to the construction: firstly, that we use the space of smooth loops; secondly, that we first construct a cometric on the loop space. I shall also indicate how this method might or might not be adapted to define other operators on loop spaces, with particular interest in a semi-infinite de Rham operator.

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This talk was given at the mathematics department in Oslo as part of their usual Topology seminar. It was given as a blackboard talk, but I used 'beamer' to prepare the talk.

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