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Stable spectral bundles on K3 fibered 3-folds

Thursday 20th January 2011 - 14:00 to 15:00
INI Seminar Room 1
In this talk I will explain how to construct stable sheaves over K3 fibered threefolds using a relative Fourier-Mukai transform, which describes these sheaves in terms of spectral data. This procedure is similar to the spectral cover construction for elliptic fibrations, which I will also review.

On K3 fibered Calabi-Yau threefolds, the Fourier-Mukai transform induces an embedding of the relative Jacobian of line bundles on spectral covers into the moduli space of sheaves of given invariants. This makes the moduli space of spectral sheaves to a generic torus fibration over the moduli space of curves of given arithmetic genus on the Calabi-Yau threefold.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons