The mapping space of unbounded differential graded algebras

Ilias Amrani

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arXiv · 1303.6895

The mapping space of unbounded differential graded algebras

Ilias Amrani

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Abstract

In this paper, we give a concrete description of the higher homotopy groups (n>0) of the mapping space Map_{Alg}(R,S) for R and S unbounded differential graded algebras (DGA) over a commutative ring k. In the connective case, we describe the relation between the higher (negative) Hochschild cohomology $HH^{-n+1}(R,S)$ and higher homotopy groups $\pi_{n} Map_{Alg}(R,S)$, when $n>1$.

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Ilias Amrani. 2013-03-27. The mapping space of unbounded differential graded algebras. https://arxiv.org/abs/1303.6895

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