Contents Online
Mathematical Research Letters
Volume 19 (2012)
Number 3
Non-holomorphic surface bundles and Lefschetz fibrations
Pages: 567 – 574
DOI: https://dx.doi.org/10.4310/MRL.2012.v19.n3.a5
Author
Abstract
We show how certain stabilizations produce infinitely manyclosed oriented four-manifolds, which are the total spacesof genus $g$ surface bundles (resp. Lefschetz fibrations)over genus $h$ surfaces and have non-zero signature, but donot admit complex structures with either orientations, for“most” (resp. all) possible values of $g \geq 3$ and $h\geq 2$ (resp. $g \geq 2$ and $h \geq 0$).
Published 8 November 2012