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am starting an entry tangent complex. For the moment its biggest achievement is to give a pointer to section 8 in Hinichâ€™s invaluable Homological algebra of homotopy algebras .
added to tangent complex pointer to the article Hennion 13, which proves, among other things, that at least in the generality of derived algebraic stacks, the tangent complex is sections of the infinitesimal disk bundle (i.e. the formal completion of the diagonal).
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