Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopical rigidity of the pre-Lie operad   We show that the celebrated operad of pre-Lie algebras is very rigid: it has
no "non-obvious" degrees of freedom from either of the three points of view:
deformations of maps to and from the "three graces of operad theory", homotopy
automorphisms, and operadic twisting. Examining the latter, it is possible to
answer two questions of Markl from 2005, including a Lie-theoretic version of
the Deligne conjecture.

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The categories of this paper are: q-alg
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph