Work

Minimal number of singular fibers in a Lefschetz fibration

Year: 2000

Type: article

Abstract: There exists a (relatively minimal) genus g g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h h iff g ≥ 3 g \geq 3 and h ≥ 2 h \geq 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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-00-05676-8

Authors: Mustafa Korkmaz, Burak Ozbagci

Institutions: Middle East Technical University, University of California, Irvine, Michigan State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1908672742

FWCI: 4.674

Cites: 14

Cited by: 37

Related to: 10