Non-holomorphic surface bundles and Lefschetz fibrations
Geometric Topology
2012-03-29 v2 Differential Geometry
Symplectic Geometry
Abstract
We show how certain stabilizations produce infinitely many closed oriented 4-manifolds which are the total spaces of genus g surface bundles (resp. Lefschetz fibrations) over genus h surfaces and have non-zero signature, but do not admit complex structures with either orientations, for "most" (resp. all) possible values of g at least 3 and h at least 2 (resp. g at least 2 and h non-negative).
Cite
@article{arxiv.1111.3417,
title = {Non-holomorphic surface bundles and Lefschetz fibrations},
author = {R. Inanc Baykur},
journal= {arXiv preprint arXiv:1111.3417},
year = {2012}
}
Comments
8 pages. Minor revision for publication