BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Toward a contact Fukaya category Ng, Lenny


I will describe the augmentation category, an A-infinity category associated to Legendrian submanifolds equipped with augmentations, and explain how one can use it to construct a derived Fukaya category for particular contact manifolds (1-jet spaces). The derived Fukaya category is generated by unknots, with the corollary that all augmentations "are geometric''. This is work in rather early progress with Tobias Ekholm and Vivek Shende, building on joint work with Dan Rutherford, Vivek Shende, Steven Sivek, and Eric Zaslow, which itself builds on work of Frederic Bourgeois and Baptiste Chantraine.

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