The Schwarzian derivative and measured laminations on Riemann surfaces

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Schwarzian Derivative and Measured Laminations on Riemann Surfaces

A holomorphic quadratic differential on a hyperbolic Riemann surface has an associated measured foliation, which can be straightened to yield a measured geodesic lamination. On the other hand, a quadratic differential can be considered as the Schwarzian derivative of a CP1 structure, to which one can naturally associate another measured geodesic lamination (using grafting). We compare these two...

متن کامل

The Monodromy Groups of Schwarzian Equations on Closed Riemann Surfaces

Let θ : π1(R) → PSL(2,C) be a homomorphism of the fundamental group of an oriented, closed surface R of genus exceeding one. We will establish the following theorem. Theorem. Necessary and sufficient for θ to be the monodromy representation associated with a complex projective stucture on R, either unbranched or with a single branch point of order 2, is that θ(π1(R)) be nonelementary. A branch ...

متن کامل

The Monodromy Groups of Schwarzian Equations on Compact Riemann Surfaces

Let R be an oriented compact surface without boundary of genus exceeding one, and let θ : π1(R;O) → Γ ⊂ PSL(2,C) be a homomorphism of its fundamental group onto a nonelementary group Γ of Möbius transformations. We present a complete, self-contained proof of the following facts: (i) θ is induced by a complex projective structure for some complex structure on R if and only if θ lifts to a homomo...

متن کامل

Random hyperbolic surfaces and measured laminations

We prove an equidistribution result for the level sets of the lengths of simple closed curves in the moduli spaceMg of hyperbolic surfaces of genus g. This result parallels known results regarding horocycle and horosphere flows on homogeneous spaces [Rat], [Dani].

متن کامل

Heegaard Surfaces and Measured Laminations, I: the Walderhausen Conjecture

We give a proof of the so-called generalized Walderhausen conjecture, which says that an orientable irreducible atoroidal 3-manifold has only finitely many Heegaard splittings in each genus, up to isotopy. Jaco and Rubinstein have announced a proof of this conjecture using

متن کامل

ذخیره 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: Duke Mathematical Journal

سال: 2007

ISSN: 0012-7094

DOI: 10.1215/s0012-7094-07-14021-3