Title	Massey products and uniqueness of \(A_\infty\) algebra structures
Creator	Muro, Fernando
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-24T15:31
Description	Classical obstructions to the existence and uniqueness of \(A\)-infinity algebra structures on spectra live in the Hochschild cohomology of the stable homotopy ring. Hence, classical existence and uniqueness results rely on the vanishing of this cohomology. Angeltveit considered finer obstructions in the pages of a spectral sequence computing the homotopy groups of the moduli space of \(A\)-infinity algebra structures. We calculate the second differential of this spectral sequence in terms of Massey products. As an application, we obtain existence and uniqueness results even when the Hochschild cohomology algebra is highly non-trivial.
Extent	46 minutes
Subject	Mathematics; Algebraic topology; Category theory; homological algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universidad de Sevilla
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-01-25
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0339893
URI	http://hdl.handle.net/2429/59777
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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