Algebraic & Geometric Topology Volume 8, issue 2 (2008)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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A remarkable DGmodule model for configuration spaces

Pascal Lambrechts and Don Stanley

Algebraic & Geometric Topology 8 (2008) 1191–1222

DOI: 10.2140/agt.2008.8.1191

Bibliography

1	L Abrams, Two-dimensional topological quantum field theories and Frobenius algebras, J. Knot Theory Ramifications 5 (1996) 569 MR1414088
2	M Bendersky, S Gitler, The cohomology of certain function spaces, Trans. Amer. Math. Soc. 326 (1991) 423 MR1010881
3	A K Bousfield, V K A M Gugenheim, On $\mathrm{PL}$ de Rham theory and rational homotopy type, Mem. Amer. Math. Soc. 8(179) (1976) MR0425956
4	E B Curtis, Simplicial homotopy theory, Advances in Math. 6 (1971) 107 MR0279808
5	Y Félix, S Halperin, J C Thomas, Rational homotopy theory, Graduate Texts in Math. 205, Springer (2001) MR1802847
6	Y Félix, D Tanré, The cohomology algebra of unordered configuration spaces, J. London Math. Soc. $(2)$ 72 (2005) 525 MR2156668
7	Y Félix, J C Thomas, Configuration spaces and Massey products, Int. Math. Res. Not. (2004) 1685 MR2058024
8	W Fulton, R MacPherson, A compactification of configuration spaces, Ann. of Math. $(2)$ 139 (1994) 183 MR1259368
9	T G Goodwillie, Calculus. II. Analytic functors, $K$–Theory 5 (1991/92) 295 MR1162445
10	T Hüttemann, Total cofibres of diagrams of spectra, New York J. Math. 11 (2005) 333 MR2154359
11	I Kříž, On the rational homotopy type of configuration spaces, Ann. of Math. $(2)$ 139 (1994) 227 MR1274092
12	P Lambrechts, D Stanley, Poincaré duality and commutative differential graded algebra, to appear in Ann. Sc. E. N. S. arXiv:math/0701309
13	P Lambrechts, D Stanley, The rational homotopy type of configuration spaces of two points, Ann. Inst. Fourier (Grenoble) 54 (2004) 1029 MR2111020
14	P Lambrechts, D Stanley, Algebraic models of Poincaré embeddings, Algebr. Geom. Topol. 5 (2005) 135 MR2135550
15	R Longoni, P Salvatore, Configuration spaces are not homotopy invariant, Topology 44 (2005) 375 MR2114713
16	J R Munkres, Elements of algebraic topology, Addison-Wesley (1984) MR755006
17	C A Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Math. 38, Cambridge University Press (1994) MR1269324