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Published September 2017 | Version public
Journal Article Metadata-only

Virtual Betti numbers and virtual symplecticity of 4-dimensional mapping tori, II

Creators

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

Identifiers

Eprint ID
78281
Resolver ID
CaltechAUTHORS:20170616-111024361

Funding

NSF
DMS-1252992
Alfred P. Sloan Foundation

Dates

Created
2017-06-16
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Updated
2021-11-15
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