Minimal number of singular fibers in a Lefschetz fibration

Date

2001-01-01

Author

Korkmaz, Mustafa
Ozbagci, B

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There exists a (relatively minimal) genus g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h iff g greater than or equal to 3 and h greater than or equal to 2. 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.

Subject Keywords

Applied Mathematics, General Mathematics

URI

https://hdl.handle.net/11511/44403

Collections

Department of Mathematics, Article