Title	Toward a contact Fukaya category
Creator	Ng, Lenny
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-03-23T11:16
Description	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.
Extent	55 minutes
Subject	Mathematics; Manifolds and cell complexes; Global analysis, analysis on manifolds; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Duke University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-09-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0314582
URI	http://hdl.handle.net/2429/59264
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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