Examples of non-formal closed -connected manifolds of dimensions

Authors:
Alex N. Dranishnikov and Yuli B. Rudyak

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

Published electronically:
November 19, 2004

MathSciNet review:
2111957

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We construct closed -connected manifolds of dimensions that possess non-trivial rational Massey triple products. We also construct examples of manifolds such that all the cup-products of elements of vanish, while the group is generated by Massey products: such examples are useful for the theory of systols.

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Additional Information

**Alex N. Dranishnikov**

Affiliation:
Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105

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

DOI:
https://doi.org/10.1090/S0002-9939-04-07639-7

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

Article copyright:
© Copyright 2004
American Mathematical Society