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The Geography of Non-Formal Manifolds

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Fernández, Marisa and Muñoz, Vicente (2005) The Geography of Non-Formal Manifolds. In Complex, Contact and Symmetric Manifolds. Progress in Mathematics (234). SpringerLink, Birkhäuser Boston, pp. 121-129. ISBN 978-0-8176-3850-4

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Official URL: http://link.springer.com/chapter/10.1007%2F0-8176-4424-5_8




Abstract

We show that there exist non-formal compact oriented manifolds of dimension n and with first Betti number b 1 = b ≥ 0 if and only if n ≥ 3 and b ≥ 2, or n ≥ (7 − 2b) and 0 ≤ b ≤ 2. Moreover, we present explicit examples for each one of these cases.


Item Type:Book Section
Uncontrolled Keywords:Real homotopy; Formal manifolds; Massey products
Subjects:Sciences > Mathematics > Geometry
ID Code:21139
Deposited On:29 Apr 2013 17:24
Last Modified:12 Dec 2018 15:13

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