Title	Bordered Floer homology via immersed curves: properties and applications
Creator	Hanselman, Jonathan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-03T11:02
Description	We will describe a new interpretation of bordered Heegaard Floer invariants in the case of a manifold M with torus boundary. In our setting, these invariants, originally defined as homotopy classes of (differential) modules over a particular algebra, take the form of homotopy classes of immersed curves in the boundary of M decorated with local systems. Moreover, pairing two bordered Floer invariants corresponds to taking the Floer homology of two sets of decorated immersed curves. In most cases this simply counts the minimal intersection number, which leads to a number of applications. This is joint work with Liam Watson and Jake Rasmussen.
Extent	72 minutes
Subject	Mathematics; Manifolds and cell complexes; Differential geometry; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Texas at Austin
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2018-01-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363308
URI	http://hdl.handle.net/2429/64494
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Bordered Floer homology via immersed curves: properties and applications Hanselman, Jonathan

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