صورة الغلاف

Braids, Conformal Module, Entropy, and Gromov's Oka Principle

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics. The conformal invariants, called here the conformal modules of conjugacy classes of elements of the fundamental group, were p...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Jöricke, Burglind (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
الطبعة:1st ed. 2025.
سلاسل:Lecture Notes in Mathematics, 2360
الموضوعات:
Functions of complex variables.
Dynamical systems.
Algebraic geometry.
Manifolds (Mathematics).
Several Complex Variables and Analytic Spaces.
Functions of a Complex Variable.
Dynamical Systems.
Algebraic Geometry.
Manifolds and Cell Complexes.
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-031-67288-0
الوسوم: إضافة وسم
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جدول المحتويات:
  • 1. Introduction
  • 2. Riemann Surfaces, Braids, Mapping Classes, and Teichmueller Theory
  • 3. The entropy of surface homeomorphisms
  • 4. Conformal invariants of homotopy classes of curves. The Main theorem
  • 5. Reducible pure braids. Irreducible nodal components, irreducible braid components, and the proof of the Main Theorem
  • 6. The general case. Irreducible nodal components, irreducible braid components, and the proof of the Main Theorem
  • 7. The conformal module and holomorphic families of polynomials
  • 8. Gromov’s Oka Principle and conformal module
  • 9. Gromov’s Oka Principle for (g, m)-fiber bundles
  • 10. Fundamental groups and bounds for the extremal length
  • 11. Counting functions
  • 12. Riemann surfaces of second kind and finiteness theorems
  • A. Several complex variables
  • B. A Lemma on Conjugation
  • C. Koebe’s Theorem
  • Index
  • References.

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