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Introduction Acknowledgments Part I. Microlocal theory of sheaves Chapter I.1. Notations Chapter I.2. Microsupport I.2.1. Definition and first properties I.2.2. Functorial operations I.2.3. Constructibility Chapter I.3. Sato's microlocalization Chapter I.4. Simple sheaves Chapter I.5. Composition of sheaves Part II. Sheaves associated with Hamiltonian isotopies Chapter II.1. Homogeneous case Chapter II.2. Local behavior Chapter II.3. Non homogeneous case Part III. Cut-off lemmas Chapter III.1. Global cut-off Chapter III.2. Local cut-off—special case Chapter III.3. Local cut-off—general case Chapter III.4. Cut-off and -topology Chapter III.5. Remarks on projectors—Tamarkin projector Part IV. Constructible sheaves in dimension 1 Chapter IV.1. Gabriel's theorem Chapter IV.2. Constructible sheaves on the real line Chapter IV.3. Constructible sheaves on the circle Chapter IV.4. Cohomological dimension 1 Part V. Graph selectors Part VI. The Gromov nonsqueezing theorem Chapter VI.1. Cut-off in fiber and space directions Chapter VI.2. Nonsqueezing results VI.2.1. Invariance of the displacement energy VI.2.2. Nonsqueezing for a flying saucer VI.2.3. Nonsqueezing for L0 VI.2.4. Nonsque

Who reads Sheaves and Symplectic Geometry of Cotangent Bundles?

Author

Stéphane Guillermou

Publisher

Société mathématique de France

Published

2023

Language

EN

ISBN

9782856299722

Category

nonfiction