中图分类法:
O174.52 版次:
著者:
Branner, Bodil.
题名:
Quasiconformal surgery in holomorphic dynamics / / ,
出版发行:
出版地: Cambridge : 出版社: Cambridge University Press, 出版日期: 2014.
载体形态:
xvii, 413 p. : ill. (some col.) ; 24 cm.
内容提要:
"Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic map