Geometry & Topology Volume 12, issue 4 (2008)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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The rational homotopy type of a blow-up in the stable case

Pascal Lambrechts and Donald Stanley

Geometry & Topology 12 (2008) 1921–1993

DOI: 10.2140/gt.2008.12.1921

Bibliography

1	I K Babenko, I A Taĭmanov, On the existence of nonformal simply connected symplectic manifolds, Uspekhi Mat. Nauk 53 (1998) 225 MR1691189
2	R Bott, L W Tu, Differential forms in algebraic topology, Graduate Texts in Math. 82, Springer (1982) MR658304
3	A K Bousfield, V K A M Gugenheim, On $\mathrm{PL}$ de Rham theory and rational homotopy type, Mem. Amer. Math. Soc. 8 (1976) MR0425956
4	G E Bredon, Topology and geometry, Graduate Texts in Math. 139, Springer (1997) MR1700700
5	P Deligne, P Griffiths, J Morgan, D Sullivan, Real homotopy theory of Kähler manifolds, Invent. Math. 29 (1975) 245 MR0382702
6	W G Dwyer, J Spaliński, Homotopy theories and model categories, from: "Handbook of algebraic topology", North-Holland (1995) 73 MR1361887
7	Y Félix, S Halperin, J C Thomas, Gorenstein spaces, Adv. in Math. 71 (1988) 92 MR960364
8	Y Félix, S Halperin, J C Thomas, Differential graded algebras in topology, from: "Handbook of algebraic topology" (editor I James), North-Holland (1995) 829 MR1361901
9	Y Félix, S Halperin, J C Thomas, Rational homotopy theory, Graduate Texts in Math. 205, Springer (2001) MR1802847
10	S Gitler, The cohomology of blow ups, Bol. Soc. Mat. Mexicana $(2)$ 37 (1992) 167 MR1317571
11	P Griffiths, J Harris, Principles of algebraic geometry, Pure and Applied Math., Wiley-Interscience (1978) MR507725
12	M Gromov, Partial differential relations, Ergebnisse der Math. und ihrer Grenzgebiete (3) 9, Springer (1986) MR864505
13	S Halperin, Lectures on minimal models, Mém. Soc. Math. France $($N.S.$)$ (1983) 261 MR736299
14	P Hilton, G Mislin, J Roitberg, Localization of nilpotent groups and spaces, North-Holland Math. Studies 15, Notas de Matemática (55), North-Holland Publishing Co. (1975) MR0478146
15	P S Hirschhorn, Model categories and their localizations, Math. Surveys and Monographs 99, Amer. Math. Soc. (2003) MR1944041
16	M Hovey, Model categories, Math. Surveys and Monographs 63, Amer. Math. Soc. (1999) MR1650134
17	P Lambrechts, D Stanley, Blowing up in $\mathbb{CP}(n)$ preserves non-formality, in preparation
18	P Lambrechts, D Stanley, Algebraic models of Poincaré embeddings, Algebr. Geom. Topol. 5 (2005) 135 MR2135550
19	P Lambrechts, D Stanley, Examples of rational homotopy types of blow-ups, Proc. Amer. Math. Soc. 133 (2005) 3713 MR2163611
20	D McDuff, Examples of simply-connected symplectic non-Kählerian manifolds, J. Differential Geom. 20 (1984) 267 MR772133
21	D McDuff, D Salamon, Introduction to symplectic topology, Oxford Math. Monographs, The Clarendon Oxford University Press (1998) MR1698616
22	J W Milnor, J D Stasheff, Characteristic classes, Annals of Math. Studies 76, Princeton University Press (1974) MR0440554
23	D G Quillen, Homotopical algebra, Lecture Notes in Math. 43, Springer (1967) MR0223432
24	V Rao, Nilpotency of homotopy pushouts, Proc. Amer. Math. Soc. 87 (1983) 335 MR681844
25	Y Rudyak, A Tralle, On Thom spaces, Massey products, and nonformal symplectic manifolds, Internat. Math. Res. Notices (2000) 495 MR1759504
26	D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. (1977) MR0646078
27	R M Switzer, Algebraic topology—homotopy and homology, Die Grundlehren der math. Wissenschaften 212, Springer (1975) MR0385836
28	W P Thurston, Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc. 55 (1976) 467 MR0402764
29	D Tischler, Closed $2$-forms and an embedding theorem for symplectic manifolds, J. Differential Geometry 12 (1977) 229 MR0488108
30	A Tralle, J Oprea, Symplectic manifolds with no Kähler structure, Lecture Notes in Math. 1661, Springer (1997) MR1465676