Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding calculus and smooth structures   We study the dependence of the embedding calculus Taylor tower on the smooth
structures of the source and target. We prove that embedding calculus does not
distinguish exotic smooth structures in dimension 4, implying a negative answer
to a question of Viro. In contrast, we show that embedding calculus does
distinguish certain exotic spheres in higher dimensions. As a technical tool of
independent interest, we prove an isotopy extension theorem for the limit of
the embedding calculus tower, which we use to investigate several further
examples.

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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
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The categories of this paper are: cs
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess