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Deformation of singular lagrangian subvarieties

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We investigate deformations of lagrangian manifolds with singularities. We introduce a complex similar to the de Rham-complex whose cohomology calculates deformation spaces. This cohomology turns out to be constructible in many cases. Examples of singular lagrangian varieties are presented and deformations are calculated explicitly.

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  1. FB Mathematik, Johannes-Gutenberg-Universität Mainz, 55099, Mainz, Germany

    Christian Sevenheck & Duco van Straten

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  1. Christian Sevenheck
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  2. Duco van Straten
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Correspondence to Christian Sevenheck.

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Mathematics Subject Classification (2000): 14B05, 14B12, 58F05, 32S40, 32S60

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Sevenheck, C., van Straten, D. Deformation of singular lagrangian subvarieties. Math. Ann. 327, 79–102 (2003). https://doi.org/10.1007/s00208-003-0428-7

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