Noncomplex smooth 4-manifolds with Lefschetz fibrations

By Mustafa Korkmaz. 2001

77 citations recorded by the source corpus.

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 S^2 but do not carry any complex structure with either orientation. This extends a recent result of Ozbagci and Stipsicz.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3c4a8592d57e7a2963c3f48f2b485fbdde6547c6

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In Geometry and Topology

1. Seiji Nagami
2. Burak Ozbagci
3. A. Stipsicz
4. H. Endo
5. Chris Wendl
6. John B. Etnyre
7. Benson Farb
8. Peter S. Ozsv'ath

In Mathematical Physics

1. Seiji Nagami
2. A. Stipsicz
3. Burak Ozbagci
4. H. Endo
5. Benson Farb
6. John B. Etnyre
7. Peter S. Ozsv'ath
8. P. Lisca

Citations in the corpus

• Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations (2004, background): “Korkmaz [25] generalized their examples to higher genera.”
• Contact 3-manifolds with infinitely many Stein fillings (2003, methodology): “Acknowledgement: The authors would like to thank Selman Akbulut, Mustafa Korkmaz and John Etnyre for many helpful and inspiring discussions.”