Symplectic microgeometry I: micromorphisms
@article{Cattaneo2009SymplecticMI, title={Symplectic microgeometry I: micromorphisms}, author={Alberto S. Cattaneo and Benoit Richard Umbert Dherin and Alan D. Weinstein}, journal={Journal of Symplectic Geometry}, year={2009}, volume={8}, pages={205-223} }
We introduce the notion of symplectic microfolds and symplectic micromorphisms between them. They form a symmetric monoidal category, which is a version of the “category” of symplectic manifolds and canonical relations obtained by localizing them around Lagrangian submanifolds in the spirit of Milnor’s microbundles.
21 Citations
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- 2010
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- 2019
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Quantizations of Momentum Maps and G-Systems
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Given a (smooth) action of a Lie group G on Rd we construct a DGA whose Maurer-Cartan elements are in one to one correspondence with some class of defomations of the (induced) G-action on the ring of…
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In this paper, we describe an integration of exact Courant algebroids to symplectic 2-groupoids,
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