A lower bound for dilatations of certain class of pseudo-Anosov maps of Riemann surfaces

Journal of Mathematical Sciences

Zhang, C.¹ 

关键词: Riemann surfaces;    pseudo-Anosov;    Dehn twists;    dilatations;    Mapping classes;    Teichm"{u}ller spaces.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Let$S$beaRiemannsurfaceoftype$(p,n)$with$3p+n>4$thatcontainsatleastonepuncture$a$.Let$mathscr{S}_{p,n}$denotethesetofpseudo-Anosovmapsof$S$thatareisotopictoproductsoftwoDehntwistsandareisotopictotheidentitymapon$ilde{S}=Scup{a}$.Inthisarticle,wegivealowerboundfordilatationsofelementsof$mathscr{S}_{p,n}$.Wealsoestimateforanyhyperbolicstructureof$ilde{S}$thehyperboliclengthsofthosefillingclosedgeodesicsof$ilde{S}$stemmingfromtheelementsof$mathscr{S}_{p,n}$.

【 授权许可】

Unknown