Rational Homotopy Theory

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The rational homology of spaces of long knots in codimension > 2 (2007, background): “We first review some classical notions in rational homotopy theory for which Félix, Halperin and Thomas [10] is the standard reference.”
New aspects of the ddc-lemma (2005, unknown): “Most, if not all, of the results we present here are standard and we refer to [39, 27] for a thorough discussion on these and related topics.”
A category of kernels for equivariant factorizations and its implications for Hodge theory (2011, background): “ct of Ho(dg-catk). Because we view it as an object of Ho(dg-catk), it is unique up to quasi-equivalence. Remark 5.17. The coﬁbrant objects of Cop -Mod are exactly the summands of semi-free dg-modules [FHT01]. One can check that summands of semi-free dg-modules have the appropriate lifting property. ”
Real homotopy theory of semi-algebraic sets (2008, background): “9 of [7] connects APL.”
More Concise Algebraic Topology: Localization, Completion, and Model Categories (2012, unknown): “In some cases, the algebraization is complete, and this is true for rational homotopy theory, as proven by Quillen [110] and Sullivan [130]; see also Bousfield and Gugenheim [19] and Félix, Halperin, and Thomas [46].”