Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmetic banding on knots and links   We present various examples of cosmetic bandings on knots and links, that is,
bandings on knots and links leaving their types unchanged. As a byproduct, we
give a hyperbolic knot which admits exotic chirally cosmetic surgeries yielding
hyperbolic manifolds. This gives a counterexample to a conjecture raised by
Bleiler, Hodgson and Weeks.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph