Dilatation versus self-intersection number for point-pushing pseudo-Anosov homeomorphisms
نویسندگان
چکیده
منابع مشابه
Dilatation versus self-intersection number for point-pushing pseudo-Anosov homeomorphisms
A filling curve γ on a based surface S determines a pseudo-Anosov homeomorphism P(γ) of S via the process of “point-pushing along γ.” We consider the relationship between the self-intersection number i(γ) of γ and the dilatation λγ of P(γ); our main result is that (i(γ) + 1) 1/5 ≤ λγ ≤ 9i(γ). We also bound the least dilatation of any pseudo-Anosov in the point-pushing subgroup of a closed surfa...
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2011
ISSN: 1753-8416
DOI: 10.1112/jtopol/jtr023