Topological Hochschild cohomology

General Introduction
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Search results
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
Some computations by Lazarev
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History and Applications
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Some Research Articles
Toen and Vezzosi: Algebraic geometry over model categories. Early paper, looks very nice! Applications to interpreting DGschemes, and to defining etale Ktheory of Einfty algebras. Expectation to extend the classical work for Einfty algebras to the more general setting of AG over a model cat, for the following concepts: tangent Lie algebra, cotangent complex, Hochschild cohomology, Ktheory, AQ cohomology. Would like to do AG over a symmetric monoidal inftycat, need strictification results. An Einfty alg should be a monoid in a SM inftycat. Pp 34: Short nice review of operads and Einfty stuff.
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Other Information
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