Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sullivan minimal models of operad algebras   We prove the existence of Sullivan minimal models of operad algebras, for a
quite wide family of operads in the category of complexes of vector spaces over
a field of characteristic zero. Our construction is an adaptation of Sullivan's
original step by step construction to the setting of operad algebras. The
family of operads that we consider includes all operads concentrated in degree
0 as well as their minimal models. In particular, this gives Sullivan minimal
models for algebras over Com, Ass and Lie, as well as over their minimal
models. Other interesting operads, such as the operad Ger encoding Gerstenhaber
algebras, also fit in our study.

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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: adap-org