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A generalization of the Weil jacobian; from even
cohomology to K-groups
Christian Peters (Université de Grenoble) Witten and Moore-Witten in their work on supersymmetry have suggested a contruction of a principally polarized abelian variety canonically associated to certain spin manifolds. This construction can be made to work and the outcome is a variant of Weil's intermediate jacobian for even cohomology. It depends only on the conformal equivalence class of the metric. For families of polarized algebraic manifolds this construction has moduli and leads to a period map. It generalizes what happens in Teichmüller theory. |  |
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Organizing committee: Alberto Albano, Elisabetta Ambrogio, Ernesto Buzano, Giuseppe Ceresa, Federica Galluzzi, Marina Marchisio, Claudio Pedrini, Daniela Romagnoli, Alessandro Verra, Giuseppe Vigna Suria