Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 1-loop graphs and configuration space integral for embedding spaces   We will construct differential forms on the embedding spaces Emb(R^j,R^n) for
n-j>=2 using configuration space integral associated with 1-loop graphs, and
show that some linear combinations of these forms are closed in some
dimensions. There are other dimensions in which we can show the closedness if
we replace Emb(R^j,R^n) by fEmb(R^j,R^n), the homotopy fiber of the inclusion
Emb(R^j,R^n) -> Imm(R^j,R^n). We also show that the closed forms obtained give
rise to nontrivial cohomology classes, evaluating them on some cycles of
Emb(R^j,R^n) and fEmb(R^j,R^n). In particular we obtain nontrivial cohomology
classes (for example, in H^3(Emb(R^2,R^5))) of higher degrees than those of the
first nonvanishing homotopy groups.

16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom