Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The mapping space of unbounded differential graded algebras   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
$n>1$.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph