Holomorphic Invariants, Normal Forms, and the Moduli Space of Convex Domains

1988 ◽  
Vol 128 (1) ◽  
pp. 43 ◽  
Author(s):  
Laszlo Lempert
Author(s):  
Shui-Nee Chow ◽  
Chengzhi Li ◽  
Duo Wang

2001 ◽  
Vol 15 (4) ◽  
pp. 279-289
Author(s):  
S. L. Dubovsky
Keyword(s):  

Author(s):  
Benson Farb ◽  
Dan Margalit

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.


Author(s):  
N.I. Gdansky ◽  
◽  
A.A. Denisov ◽  

The article explores the satisfiability of conjunctive normal forms used in modeling systems.The problems of CNF preprocessing are considered.The analysis of particular methods for reducing this formulas, which have polynomial input complexity is given.


2018 ◽  
Vol 51 (3) ◽  
pp. 739-772 ◽  
Author(s):  
Chi Li ◽  
Xiaowei Wang ◽  
Chenyang Xu
Keyword(s):  

2017 ◽  
Vol 50 (5) ◽  
pp. 1081-1122 ◽  
Author(s):  
Johan Alm ◽  
Dan Petersen
Keyword(s):  

Vestnik MEI ◽  
2019 ◽  
Vol 6 ◽  
pp. 131-137
Author(s):  
Abdukhafiz A. Bobodzhanova ◽  
◽  
Valeriy F. Safonov ◽  

Sign in / Sign up

Export Citation Format

Share Document