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Math-Physics Joint Seminar

Friday, February 19, 2010 - 10:00am

Tobias Dyckerhoff

University of Pennsylvania

Location

University of Pennsylvania

DRL 4N30

The curvature terms which define Kapranov's homotopy Lie algebra structure on the tangent bundle of a Kaehler manifold X actually represent Atiyah classes. This observation leads to a neat reformulation interpreting the shifted tangent bundle as a Lie algebra object in the derived category of coherent sheaves on X. We will then see how to construct more Rozansky-Witten type weight systems, and how PBW becomes HKR.