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Samuel Monnier
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<b><font size="+1" color=darkblue>The global gravitational anomaly of
the self-dual 
field theory</font>          
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<b><font size="+1" color=#CC0000>Abstract</font>
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We will report on recent work on the global gravitational anomaly of
the self-dual field theory (also called the abelian chiral p-form).
The partition function of the self-dual field theory on a 4k+2
dimensional manifold M is a section of a certain line bundle over the
space of metrics on M modulo diffeomorphisms. We will describe the
isomorphism class of this bundle and propose a conjectural formula for
the holonomy of a natural connection living on it. Mathematically,
this story provides an interesting link between the theory of
determinant line bundles of Dirac operators, Siegel theta functions
and certain cobordism invariants defined by Hopkins and Singer.
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