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Macquarie University  Department of Mathematics

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Categories in Algebra, Geometry and Mathematical Physics

Conference in honour of Ross Street's sixtieth birthday

July 11-16 2005, Macquarie University, Sydney

Thu, 14 July:  10:30 - 11:10

Gerbes of chiral differential operators
Gorbunov, Vasiliy (Kentucky University)

In this talk we will introduce the gerbe attached to a compact algebraic or complex manifold whose characteristic class is the first Pontriagin class of the manifold. This gerbe is closely related to the so-called `half twisted sigma model' on a manifold introduced by Witten in the late 80s. We mention some applications of this construction to topology.

Typeset PDF of this abstract.