Format:
1 online resource (117 pages)
,
illustrations.
ISBN:
9781470407605
Series Statement:
Memoirs of the American Mathematical Society Number 344
Content:
Intro -- TABLE OF CONTENTS -- ABSTRACT -- INTRODUCTION -- CHAPTER I. INCOMPRESSIBLE NEIGHBORHOODS -- 1.1 The incompressible neighborhood theorem -- 1.2 Notation and terminology for orientable products-with-handles -- CHAPTER II. STANDARD HOMEOMORPHISMS OF AN ORIENTABLE PRODUCT-WITH-HANDLES -- 2.1 Sliding discs and the product lemma -- 2.2 Basic slide homeomorphisms -- 2.3 Interchanges, spins, and special homeomorphisms -- 2.4 Homeomorphisms isotopic to the identity -- CHAPTER III. THE MAPPING CLASS GROUP OF AN ORIENTABLE PRODUCT-WITH-HANDLES -- 3.1 Generators for H(V,x[sub(o)]) -- 3.2 Finite generation and the Johannson subgroup -- CHAPTER IV. FINITE GENERATION AND THE JOHANNSON SUBGROUP FOR MAPPING CLASS GROUPS OF ORIENTABLE 3-MANIFOLDS -- 4.1 The splitting theorem -- 4.2 Finite generation and the Johannson subgroup -- CHAPTER V. THE HOMOMORPHISM H(V,x[sub(o)]) → Aut(Π[sub(1)](V,x[sub(o)])) -- 5.1 Aut(Π[sub(1)](V,x[sub(o)])) -- 5.2 Description of V in the orientable case -- 5.3 Luft's theorem for orientable products-with-handles -- CHAPTER VI. THE HOMOMORPHISM H(M,x[sub(o)]) → Aut(Π[sub(1)](M,x[sub(o)])) -- 6.1 Some lemmas -- 6.2 Luft's theorem for 3-manifolds -- CHAPTER VII. THE NONORIENTABLE CASE -- 7.1 Standard homeomorphi sms of V -- 7.2 Generators for H(V,x[sub(o)]) -- 7.3 Luft's theorem for nonorientable products-with-handles -- 7.4 Finite generation and the Johannson subgroup -- 7.5 A rewriting algorithm for S[sup(+)] -- 7.6 A finite set of generators for the mapping class group of a nonorientable product-with-handles -- REFERENCES -- INDEX OF NOTATIONS AND TERMS -- A -- B -- C -- D -- E -- F -- H -- I -- J -- K -- L -- M -- N -- P -- R -- S -- T -- U -- V -- W -- X.
Note:
Includes bibliographical references and index. Description based on print version record. "May 1986, Volume 61, Number 344 (first of 3 numbers)."
Additional Edition:
9780821823460
Additional Edition:
Erscheint auch als Druck-Ausgabe 9780821823460
Language:
English
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