dorsal/arxiv
View SchemaHomological algebra of homotopy algebras
| Authors | Vladimir Hinich |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702015 |
| URL | https://arxiv.org/abs/q-alg/9702015 |
Abstract
We define closed model category structures on different categories connected to the world of operad algebras over the category C(k) of (unbounded) complexes of k-modules: on the category of operads, on the category of algebras over a fixed operad, on the category of modules over a fixed operad algebra. In Sections 2 - 6 we define the necessary structures and provide some standard comparison results. In Section 7 we define cotangent complex. In Section 8 we define a canonical structure of homotopy Lie algebra on the tangent complex.
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"abstract": "We define closed model category structures on different categories connected\nto the world of operad algebras over the category C(k) of (unbounded) complexes\nof k-modules: on the category of operads, on the category of algebras over a\nfixed operad, on the category of modules over a fixed operad algebra. In\nSections 2 - 6 we define the necessary structures and provide some standard\ncomparison results. In Section 7 we define cotangent complex. In Section 8 we\ndefine a canonical structure of homotopy Lie algebra on the tangent complex.",
"arxiv_id": "q-alg/9702015",
"authors": [
"Vladimir Hinich"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Homological algebra of homotopy algebras",
"url": "https://arxiv.org/abs/q-alg/9702015"
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