Published September 2017
| public
Journal Article
Virtual Betti numbers and virtual symplecticity of 4-dimensional mapping tori, II
- Creators
- Ni, Yi
Chicago
An error occurred while generating the citation.
Abstract
We show that if the fiber of a closed 4-dimensional mapping torus X is reducible and not S^2×S^1 or ℝP^3#ℝP^3, then the virtual first Betti number of X is infinite and X is not virtually symplectic. This confirms two conjectures made by Li and Ni (2014) in an earlier paper.
Additional Information
© 2017 Science China Press and Springer-Verlag Berlin Heidelberg. Received December 23, 2016; accepted March 6, 2017. First Online: 07 April 2017. Dedicated to Professor Boju Jiang on the Occasion of His 80th Birthday. This work was supported by National Science Foundation of USA (Grant No. DMS-1252992) and an Alfred P. Sloan Research Fellowship. The author thanks a referee for clarifying some arguments in geometric group theory.Additional details
- Eprint ID
- 78281
- Resolver ID
- CaltechAUTHORS:20170616-111024361
- NSF
- DMS-1252992
- Alfred P. Sloan Foundation
- Created
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2017-06-16Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field