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Higher order Whitehead products and Lstructures on the homology of a DGL

Higher order Whitehead products and Lstructures on the homology of a DGL
Higher order Whitehead products and Lstructures 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
0024-3795
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
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 Lstructures on the homology of a DGL. Linear Algebra and Its Applications, 520, 16-31. (doi:10.1016/j.laa.2017.01.008).

Record type: Article

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.

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whiteheadProdsAndLinfinity - Accepted Manuscript
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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: https://eprints.soton.ac.uk/id/eprint/406197
ISSN: 0024-3795
PURE UUID: 2a5e5291-ef4a-4df2-9919-3c1b715b9ab6

Catalogue record

Date deposited: 10 Mar 2017 10:42
Last modified: 15 Aug 2019 05:01

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