Andre-Quillen cohomology and rational homotopy of function spaces

J Block; A Lazarev

doi:10.1016/j.aim.2004.04.014

Andre-Quillen cohomology and rational homotopy of function spaces

J Block, A Lazarev

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

19 Citations (Scopus)

Abstract

We develop a simple theory of Andre-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent CW-complexes. This puts certain results of Sullivan in a more conceptual framework. (c) 2004 Elsevier Inc. All rights reserved.

Translated title of the contribution	Andre-Quillen cohomology and rational homotopy of function spaces
Original language	English
Pages (from-to)	18 - 39
Number of pages	22
Journal	Advances in Mathematics
Volume	193 (1)
DOIs	https://doi.org/10.1016/j.aim.2004.04.014
Publication status	Published - May 2005

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Publisher: Academic Press
Other identifier: IDS Number: 920RD

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title = "Andre-Quillen cohomology and rational homotopy of function spaces",

abstract = "We develop a simple theory of Andre-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent CW-complexes. This puts certain results of Sullivan in a more conceptual framework. (c) 2004 Elsevier Inc. All rights reserved.",

author = "J Block and A Lazarev",

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year = "2005",

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AU - Block, J

AU - Lazarev, A

N1 - Publisher: Academic Press Other identifier: IDS Number: 920RD

PY - 2005/5

Y1 - 2005/5

N2 - We develop a simple theory of Andre-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent CW-complexes. This puts certain results of Sullivan in a more conceptual framework. (c) 2004 Elsevier Inc. All rights reserved.

AB - We develop a simple theory of Andre-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent CW-complexes. This puts certain results of Sullivan in a more conceptual framework. (c) 2004 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.aim.2004.04.014

DO - 10.1016/j.aim.2004.04.014

M3 - Article (Academic Journal)

SN - 1090-2082

VL - 193 (1)

SP - 18

EP - 39

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Andre-Quillen cohomology and rational homotopy of function spaces

Abstract

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