Lefschetz pencils and finitely presented groups
نویسندگان
چکیده
منابع مشابه
Lefschetz Fibrations and an Invariant of Finitely Presented Groups
Every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. This follows from results of Gompf and Donaldson, and was also proved by Amoros-BogomolovKatzarkov-Pantev. We give another proof by providing the monodromy explicitly. We then define the genus of a finitely presented group Γ to be the minimal genus of a Lefschetz fibration with fundamental group...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2016
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2016.282.359