## Topology & Geometric Group Theory Seminar

## Fall 2008

### 1:30 – 2:30, Malott 406

Tuesday, November 18

**Eugene
Lerman**, UIUC

*Prequantization of orbifolds*

(This is joint work with Anton Malkin.) The prequantization procedure
assigns to a manifold M with an integral 2-form F a principal circle
bundle P over M with a connection A whose curvature is F. A principle
of Guillemin and Sternberg says that prequantization commutes with
taking symplectic quotients. Generically symplectic quotients are
orbifolds, so there is a need to make sense of prequantization of
orbifolds. A functorial view of prequantization due to Hopkins and
Singer gives a clue of how to proceed. In particular we show that
when the orbifold in question is a point with an action of a finite
group G its prequantization is a character of G.

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