منابع مشابه
On the flux of pseudo-Anosov homeomorphisms
We exhibit a pseudo-Anosov homeomorphism of a surface S which acts trivially on H1(S; Z) and whose flux is nonzero.
متن کاملPseudo-anosov Homeomorphisms with Quadratic Expansion
We show that if f : M →M is a pseudo-Anosov homeomorphism on an orientable surface with oriented unstable manifolds and a quadratic expanding factor, then there is a hyperbolic toral automorphism on T2 and a map h : M → T2 such that h is a semi-conjugacy and (M, h) is a branched covering space of T2. We also give another characterization of pseudo-Anosov homeomorphisms with quadratic expansion ...
متن کاملInfinite sequence of fixed point free pseudo-Anosov homeomorphisms
We construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of Abelian differentials. The existence of such a sequence shows that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy-Veec...
متن کاملSmall dilatation pseudo-Anosov homeomorphisms and 3–manifolds
The main result of this paper is a universal finiteness theorem for the set of all small dilatation pseudo-Anosov homeomorphisms φ : S → S, ranging over all surfaces S. More precisely, we consider pseudo-Anosov homeomorphisms φ : S → S with |χ(S)| log(λ(φ)) bounded above by some constant, and we prove that, after puncturing the surfaces at the singular points of the stable foliations, the resul...
متن کاملOn the Dynamics of Pseudo-anosov Homeomorphisms on Representation Varieties of Surface Groups
We study the action of pseudo-Anosov homeomorphisms f : R → R on the character varieties of SL(2,C) -representations of the fundamental groups π1(R) of closed orientable hyperbolic surfaces R . We prove that the representation π1(R) →֒ SL(2,C) corresponding to the holonomy representation of the hyperbolic structure on the mapping torus of f is a hyperbolic fixed point for the action of f on the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1992
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1992-1094557-8