scholarly journals Riemann surfaces in Stein manifolds with the Density property

2014 ◽  
Vol 64 (2) ◽  
pp. 681-697 ◽  
Author(s):  
Rafael Andrist ◽  
Erlend Wold
Keyword(s):  
Riemann Surfaces ◽  
Density Property ◽  
Stein Manifolds

scholarly journals Parametric jet interpolation for Stein manifolds with the density property

2019 ◽  
Vol 30 (08) ◽  
pp. 1950046
Author(s):  
Alexandre Ramos-Peon ◽  
Riccardo Ugolini
Keyword(s):  
Finite Number ◽  
Stein Manifold ◽  
Density Property ◽  
Stein Manifolds ◽  
Topological Condition ◽  
Holomorphic Flexibility

Given a Stein manifold with the density property, we show that under a suitable topological condition it is possible to prescribe derivatives at a finite number of points to automorphisms depending holomorphically on a Stein parameter. This is an Oka property of the manifold and is related to its holomorphic flexibility.

scholarly journals Proper holomorphic embeddings into stein manifolds with the density property

2016 ◽  
Vol 130 (1) ◽  
pp. 135-150 ◽  
Author(s):  
Rafael Andrist ◽  
Franc Forstnerič ◽  
Tyson Ritter ◽  
Erlend Fornæss Wold
Keyword(s):  
Density Property ◽  
Stein Manifolds ◽  
Holomorphic Embeddings

Stability of pseudoconvexity of disc bundles over compact Riemann surfaces and application to a family of Galois coverings

2015 ◽  
Vol 26 (04) ◽  
pp. 1540003 ◽  
Author(s):  
Takeo Ohsawa
Keyword(s):  
Automorphism Group ◽  
Unit Disc ◽  
Riemann Surfaces ◽  
Kähler Manifolds ◽  
Transformation Groups ◽  
Kahler Manifolds ◽  
Discrete Subgroups ◽  
Stein Manifolds ◽  
Galois Coverings ◽  
Compact Riemann Surfaces

It is proved that Galois coverings of smooth families of compact Riemann surfaces over Stein manifolds are holomorphically convex if the covering transformation groups are isomorphic to discrete subgroups of the automorphism group of the unit disc. The proof is based on an extension of the fact that disc bundles over compact Kähler manifolds are weakly 1-complete.

scholarly journals Runge tubes in Stein manifolds with the density property

2019 ◽  
Vol 148 (2) ◽  
pp. 569-575
Author(s):  
Franc Forstnerič ◽  
Erlend Fornæss Wold
Keyword(s):  
Density Property ◽  
Stein Manifolds

Filling words in fundamental groups of Riemann surfaces

2013 ◽  
Vol 50 (1) ◽  
pp. 31-50
Author(s):  
C. Zhang
Keyword(s):  
Riemann Surface ◽  
Fundamental Group ◽  
Riemann Surfaces ◽  
Fundamental Groups ◽  
Closed Geodesics ◽  
New Words

The purpose of this article is to utilize some exiting words in the fundamental group of a Riemann surface to acquire new words that are represented by filling closed geodesics.

A Primer on Mapping Class Groups (PMS-49)

2017 ◽  
Author(s):  
Benson Farb ◽  
Dan Margalit
Keyword(s):  
Graduate Students ◽  
Moduli Space ◽  
Riemann Surfaces ◽  
Class Group ◽  
Mapping Class ◽  
Torelli Group ◽  
Surface Bundles ◽  
Surface Homeomorphisms ◽  
Low Dimensional

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. It begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn–Nielsen–Baer–theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

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