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Minimal number of singular fibers in a Lefschetz fibration
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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
Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.1090/s0002-9939-00-05676-8
Collections
Department of Mathematics, Article