Recognizing products of surfaces and simply connected $4$-manifolds
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- by Ian Hambleton and Matthias Kreck PDF
- Proc. Amer. Math. Soc. 143 (2015), 2253-2262 Request permission
Abstract:
We give necessary and sufficient conditions for a closed smooth $6$-manifold $N$ to be diffeomorphic to a product of a surface $F$ and a simply connected $4$-manifold $M$ in terms of basic invariants like the fundamental group and cohomological data. Any isometry of the intersection form of $M$ is realized by a self-diffeomorphism of $M \times F$.References
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Additional Information
- Ian Hambleton
- Affiliation: Department of Mathematics, McMaster University, Hamilton, Ontario L8S 4K1, Canada
- MR Author ID: 80380
- Email: hambleton@mcmaster.ca
- Matthias Kreck
- Affiliation: Mathematisches Institut, Universität Bonn, D-53115 Bonn, Germany
- Email: kreck@math.uni-bonn.de
- Received by editor(s): March 17, 2013
- Received by editor(s) in revised form: October 4, 2013, and November 7, 2013
- Published electronically: December 15, 2014
- Additional Notes: This research was partially supported by NSERC Discovery Grant A4000. The authors wish to thank the Max Planck Institut für Mathematik in Bonn for its hospitality and support
- Communicated by: Daniel Ruberman
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2253-2262
- MSC (2010): Primary 57R55, 57R65
- DOI: https://doi.org/10.1090/S0002-9939-2014-12425-7
- MathSciNet review: 3314132