Neha Patil (Editor)

Symmetric obstruction theory

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In mathematics, a symmetric obstruction theory, introduced by Kai Behrend, is a perfect obstruction theory together with nondegenerate symmetric bilinear form.

Example: Let f be a regular function on a smooth variety (or stack). Then the set of critical points of f carries a symmetric obstruction theory in a canonical way.

Example: Let M be a complex symplectic manifold. Then the (scheme-theoretic) intersection of Lagrangian submanifolds of M carries a canonical symmetric obstruction theory.

References

Symmetric obstruction theory Wikipedia


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