Comparison of spaces associated to dgla via higher holonomy

Paul Bressler; Alexander Gorokhovsky; Ryszard Nest; Boris Tsygan

doi:10.1090/conm/749/15067

Comparison of spaces associated to dgla via higher holonomy

Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For a differential graded Lie algebra g whose components vanish in degrees below −1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the simplicial set of g-valued differential forms introduced by V. Hinich. The construction uses the theory of non-abelian multiplicative integration.

Original language	English (US)
Pages (from-to)	1-12
Number of pages	12
Journal	Contemporary Mathematics
Volume	749
DOIs	https://doi.org/10.1090/conm/749/15067
State	Published - 2020

Funding

The third author was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92).

ASJC Scopus subject areas

General Mathematics

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10.1090/conm/749/15067

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title = "Comparison of spaces associated to dgla via higher holonomy",

abstract = "For a differential graded Lie algebra g whose components vanish in degrees below −1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the simplicial set of g-valued differential forms introduced by V. Hinich. The construction uses the theory of non-abelian multiplicative integration.",

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AB - For a differential graded Lie algebra g whose components vanish in degrees below −1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the simplicial set of g-valued differential forms introduced by V. Hinich. The construction uses the theory of non-abelian multiplicative integration.

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JO - Contemporary Mathematics

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Comparison of spaces associated to dgla via higher holonomy

Abstract

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ASJC Scopus subject areas

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