Non-formal co-symplectic manifolds
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- by Giovanni Bazzoni, Marisa Fernández and Vicente Muñoz PDF
- Trans. Amer. Math. Soc. 367 (2015), 4459-4481 Request permission
Abstract:
We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product. As an application we prove that there are non-formal compact co-symplectic manifolds of dimension $m$ and with first Betti number $b$ if and only if $m=3$ and $b \geq 2$, or $m \geq 5$ and $b \geq 1$. Explicit examples for each one of these cases are given.References
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Additional Information
- Giovanni Bazzoni
- Affiliation: Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas, C/ Nicolas Cabrera 13-15, 28049 Madrid, Spain
- Email: gbazzoni@icmat.es
- Marisa Fernández
- Affiliation: Facultad de Ciencia y Tecnología, Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain
- Email: marisa.fernandez@ehu.es
- Vicente Muñoz
- Affiliation: Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain
- Email: vicente.munoz@mat.ucm.es
- Received by editor(s): January 10, 2013
- Received by editor(s) in revised form: December 23, 2013
- Published electronically: September 4, 2014
- Additional Notes: The first and third authors were partially supported by Project MICINN (Spain) MTM2010-17389. The second author was partially supported through Project MICINN (Spain) MTM2011-28326-C02-02, and Project of UPV/EHU ref. UFI11/52
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 4459-4481
- MSC (2010): Primary 53C15, 55S30; Secondary 53D35, 55P62, 57R17
- DOI: https://doi.org/10.1090/S0002-9947-2014-06361-7
- MathSciNet review: 3324935