Higher order Whitehead products and L∞ structures on the homology of a DGL
Higher order Whitehead products and L∞ structures on the homology of a DGL
We detect higher order Whitehead products on the homology H of a differential graded Lie algebra L in terms of higher brackets in the transferred L∞ structure on H via a given homotopy retraction of L onto H.
Higher Whitehead product, L∞-algebra, Rational homotopy theory
16-31
Belchi, Francisco
41c7c5e5-b259-45d8-89f9-7b7937517c53
Murillo, Aniceto
5dc85c68-9a81-4fce-8d94-0114e925eb44
Buijs, Urtzi
186c9540-c73b-4da9-87ae-a3e4482d41c7
Moreno-Fernandez, Jose Manuel
7ad64342-02ce-4012-90ab-3d389e09baa8
1 May 2017
Belchi, Francisco
41c7c5e5-b259-45d8-89f9-7b7937517c53
Murillo, Aniceto
5dc85c68-9a81-4fce-8d94-0114e925eb44
Buijs, Urtzi
186c9540-c73b-4da9-87ae-a3e4482d41c7
Moreno-Fernandez, Jose Manuel
7ad64342-02ce-4012-90ab-3d389e09baa8
Belchi, Francisco, Murillo, Aniceto, Buijs, Urtzi and Moreno-Fernandez, Jose Manuel
(2017)
Higher order Whitehead products and L∞ structures on the homology of a DGL.
Linear Algebra and Its Applications, 520, .
(doi:10.1016/j.laa.2017.01.008).
Abstract
We detect higher order Whitehead products on the homology H of a differential graded Lie algebra L in terms of higher brackets in the transferred L∞ structure on H via a given homotopy retraction of L onto H.
Text
whiteheadProdsAndLinfinity
- Accepted Manuscript
More information
Accepted/In Press date: 10 January 2017
e-pub ahead of print date: 12 January 2017
Published date: 1 May 2017
Keywords:
Higher Whitehead product, L∞-algebra, Rational homotopy theory
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 406197
URI: http://eprints.soton.ac.uk/id/eprint/406197
ISSN: 0024-3795
PURE UUID: 2a5e5291-ef4a-4df2-9919-3c1b715b9ab6
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Date deposited: 10 Mar 2017 10:42
Last modified: 16 Mar 2024 05:06
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Contributors
Author:
Francisco Belchi
Author:
Aniceto Murillo
Author:
Urtzi Buijs
Author:
Jose Manuel Moreno-Fernandez
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