|
|||||
|
|
Minimal number of singular fibers in a Lefschetz fibration |
|
| Authors: | Mustafa Korkmaz Burak Ozbagci |
| Institution: | Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey ; Department of Mathematics, University of California, Irvine, California 92697 |
| Abstract: | There exists a (relatively minimal) genus |
| Keywords: | Lefschetz fibrations 4-manifolds mapping class groups |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |
Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus 
iff 
and 
. The singular fiber can be chosen to be reducible or irreducible. Other results are that every Dehn twist on a closed surface of genus at least three is a product of two commutators and no Dehn twist on any closed surface is equal to a single commutator.