Algebraic & Geometric Topology Volume 11, issue 4 (2011)

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On the mapping space homotopy groups and the free loop space homology groups

Takahito Naito

Algebraic & Geometric Topology 11 (2011) 2369–2390

DOI: 10.2140/agt.2011.11.2369

Bibliography

1	J Block, A Lazarev, André–Quillen cohomology and rational homotopy of function spaces, Adv. Math. 193 (2005) 18 MR2132759
2	U Buijs, A Murillo, The rational homotopy Lie algebra of function spaces, Comment. Math. Helv. 83 (2008) 723 MR2442961
3	M Chas, D Sullivan, String topology, to appear in Ann. of Math. $(2)$ arXiv:math.GT/9911159
4	K T Chen, Pullback de Rham cohomology of the free path fibration, Trans. Amer. Math. Soc. 242 (1978) 307 MR0478190
5	Y Félix, S Halperin, J C Thomas, Differential graded algebras in topology, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 829 MR1361901
6	Y Félix, S Halperin, J C Thomas, Rational homotopy theory, Graduate Texts in Math. 205, Springer (2001) MR1802847
7	Y Félix, J Oprea, D Tanré, Algebraic models in geometry, Oxford Graduate Texts in Math. 17, Oxford Univ. Press (2008) MR2403898
8	Y Félix, J C Thomas, Monoid of self-equivalences and free loop spaces, Proc. Amer. Math. Soc. 132 (2004) 305 MR2021275
9	Y Felix, J C Thomas, M Vigué-Poirrier, The Hochschild cohomology of a closed manifold, Publ. Math. Inst. Hautes Études Sci. (2004) 235 MR2075886
10	K Gruher, P Salvatore, Generalized string topology operations, Proc. Lond. Math. Soc. $(3)$ 96 (2008) 78 MR2392316
11	S Halperin, J M Lemaire, Notions of category in differential algebra, from: "Algebraic topology—rational homotopy (Louvain-la-Neuve, 1986)" (editor Y Felix), Lecture Notes in Math. 1318, Springer (1988) 138 MR952577
12	K Hess, P E Parent, J Scott, CoHochschild homology of chain coalgebras, J. Pure Appl. Algebra 213 (2009) 536 MR2483836
13	J D S Jones, Cyclic homology and equivariant homology, Invent. Math. 87 (1987) 403 MR870737
14	G Lupton, S B Smith, Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and $G$–sequences, J. Pure Appl. Algebra 209 (2007) 159 MR2292124
15	W S Massey, Singular homology theory, Graduate Texts in Math. 70, Springer (1980) MR569059
16	J McCleary, A user's guide to spectral sequences, Cambridge Studies in Advanced Math. 58, Cambridge Univ. Press (2001) MR1793722
17	J M Møller, M Raussen, Rational homotopy of spaces of maps into spheres and complex projective spaces, Trans. Amer. Math. Soc. 292 (1985) 721 MR808750
18	P Selick, Introduction to homotopy theory, Fields Institute Monogr. 9, Amer. Math. Soc. (1997) MR1450595
19	J P Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. $(2)$ 54 (1951) 425 MR0045386
20	M Vigué-Poirrier, Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives, $K$–Theory 4 (1991) 399 MR1116926
21	G W Whitehead, Elements of homotopy theory, Graduate Texts in Math. 61, Springer (1978) MR516508