Noncomplex smooth 4-manifolds with Lefschetz fibrations

2001/03/22 by Mustafa Korkmaz
Mathematics · #math.GT #math.SG #msc:57R15 #msc:55R55 #msc:57R30

paper · pdf

published as International Mathematics Research Notices 2001, No. 3 · 14 pages, 4 figures

arxiv created 2001/03/22 · arxiv updated 2009/11/30

Abstract

For every integer g greater than or equal to 2, there exist infinitely many pairwise nonhomeomorphic smooth 4-manifolds that admit genus-g Lefschetz fibrations over S² but do not carry any complex structure with either orientation. This extends a recent result of Ozbagci and Stipsicz.

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