Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26, 1 issue

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Formality of sphere bundles

Jiawei Zhou

Algebraic & Geometric Topology 25 (2025) 2297–2315
Bibliography
1 M Amann, V Kapovitch, On fibrations with formal elliptic fibers, Adv. Math. 231 (2012) 2048 MR2964633
2 I Biswas, M Fernández, V Muñoz, A Tralle, On formality of Sasakian manifolds, J. Topol. 9 (2016) 161 MR3465845
3 G R Cavalcanti, The Lefschetz property, formality and blowing up in symplectic geometry, Trans. Amer. Math. Soc. 359 (2007) 333 MR2247894
4 D Crowley, J Nordström, The rational homotopy type of (n1)-connected manifolds of dimension up to 5n 3, J. Topol. 13 (2020) 539 MR4092775
5 P Deligne, P Griffiths, J Morgan, D Sullivan, Real homotopy theory of Kähler manifolds, Invent. Math. 29 (1975) 245 MR382702
6 Y Félix, S Halperin, J C Thomas, Rational homotopy theory, 205, Springer (2001) MR1802847
7 S Halperin, Lectures on minimal models, 9-10, Soc. Math. France (1983) 261 MR736299
8 G Lupton, Variations on a conjecture of Halperin, from: "Homotopy and geometry", Banach Center Publ. 45, Polish Acad. Sci. Inst. Math. (1998) 115 MR1679854
9 T J Miller, On the formality of (k1)-connected compact manifolds of dimension less than or equal to 4k 2, Illinois J. Math. 23 (1979) 253 MR528561
10 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 269 MR646078
11 H L Tanaka, L S Tseng, Odd sphere bundles, symplectic manifolds, and their intersection theory, Camb. J. Math. 6 (2018) 213 MR3855080
12 J Zhou, A-minimal model on differential graded algebras, preprint (2019) arXiv:1904.10143