000			01832 a2200241 4500
999			_c54514 _d54514
008			210325b ||||| |||| 00| 0 eng d
020			_a9781107042919
082			_a515.98 _bBRA
100			_aBranner, Bodil
245			_aQuasiconformal surgery in holomorphic dynamics
260			_bCambridge University Press, _c2014. _aCambridge:
300			_axvii, 413 p. : ill. ; _bhb, _c24 cm.
365			_aGBP _b73.00
440			_aCambridge studies in advanced mathematics ; 141
504			_aIncludes bibliographical references (pages 400-407) and index.
520			_aSince 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 maps. The book is ideal for graduate students and researchers requiring a self-contained text including a variety of applications. It particularly emphasises the geometrical ideas behind the proofs, with many helpful illustrations seldom found in the literature.
650			_aDifferentiable dynamical systems
650			_aHolomorphic mappings
650			_aKleinian groups
650			_aGlobal analysis (Mathematics)
700			_aFagella, Nuria
942			_2ddc _cTD