Research Catalog

Title

Morse homology / Matthias Schwarz.

Author

Schwarz, Matthias, 1967 October 16-

Publication

Basel ; Boston : Birkhäuser Verlag, ©1993.

Items in the Library & Off-site

Details

Description

ix, 235 pages : illustrations; 25 cm.

Series Statement

Progress in mathematics ; v. 111

Uniform Title

Progress in mathematics (Boston, Mass.) ; v. 111.

Subject

• Morse theory
• Homology theory
• Homologie
• Morse-Theorie
• Morse, théorie de
• Homologie

Bibliography (note)

• Includes bibliographical references (p. [229]-231) and index.

Contents

1. Introduction -- 2. The Trajectory Spaces -- 2.1. The Construction of the Trajectory Spaces -- 2.2. Fredholm Theory -- 2.3. Transversality -- 2.4. Compactness -- 2.5. Gluing -- 3. Orientation -- 3.1. Orientation and Gluing in the Trivial Case -- 3.2. Coherent Orientation -- 4. Morse Homology Theory -- 4.1. The Main Theorems of Morse Homology -- 4.2. The Eilenberg-Steenrod Axioms -- 4.3. The Uniqueness Result -- 5. Extensions -- 5.1. Morse Cohomology -- 5.2. Poincare Duality -- 5.3. Products -- A: Curve Spaces and Banach Bundles -- A.1. The Manifold of Maps [actual symbol not reproducible] -- A.2. Banach Bundles on [actual symbol not reproducible] -- B: The Geometric Boundary Operator.

ISBN

• 0817629041
• 9780817629045
• 3764329041
• 9783764329044

LCCN

93020738

OCLC

• ocm28336477
• 28336477
• SCSB-1992913

Owning Institutions

Princeton University Library