Non-holomorphic surface bundles and Lefschetz fibrations

Details Non-holomorphic surface bundles and Lefschetz fibrations Non-holomorphic surface bundles and Lefschetz fibrations

2011-11-15

arxiv.org/abs/1111.3417v2

Mathematics

Geometric Topology

8 pages. Minor revision for publication

Scientific paper

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).

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