Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $\ge 4k-1$
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- by Alex N. Dranishnikov and Yuli B. Rudyak
- Proc. Amer. Math. Soc. 133 (2005), 1557-1561
- DOI: https://doi.org/10.1090/S0002-9939-04-07639-7
- Published electronically: November 19, 2004
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Abstract:
We construct closed $(k-1)$-connected manifolds of dimensions $\ge 4k-1$ that possess non-trivial rational Massey triple products. We also construct examples of manifolds $M$ such that all the cup-products of elements of $H^k(M)$ vanish, while the group $H^{3k-1}(M;\mathbb {Q})$ is generated by Massey products: such examples are useful for the theory of systols.References
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Bibliographic Information
- Alex N. Dranishnikov
- Affiliation: Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
- MR Author ID: 212177
- Email: dranish@math.ufl.edu
- Yuli B. Rudyak
- Affiliation: Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
- Email: rudyak@math.ufl.edu
- Received by editor(s): November 17, 2003
- Received by editor(s) in revised form: January 9, 2004
- Published electronically: November 19, 2004
- Communicated by: Paul Goerss
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 1557-1561
- MSC (2000): Primary 55S30; Secondary 55P62, 57Q35
- DOI: https://doi.org/10.1090/S0002-9939-04-07639-7
- MathSciNet review: 2111957