Free Loop Spaces in Geometry and Topology
Including the monograph Symplectic cohomology and Viterbo’s theorem by Mohammed Abouzaid
Editors
Janko Latschev
Universität Hamburg, GermanyAlexandru Oancea
Sorbonne Universités, Paris, France
A subscription is required to access this book.
pp. i–iv Frontmatterpp. v–vi Contentspp. 1–17 Introductionp. 19 Part I A panorama of topology, geometry and algebrapp. 21–65 algebrapp. 67–109 Morse theory, closed geodesics, and the homology of free loop spacespp. 111–136 Rational homotopy – Sullivan modelspp. 137–156 Free loop space and homologypp. 157–163 Appendix to the chapter by J.-L. Lodaypp. 165–222 On algebraic structures of the Hochschild complexpp. 223–242 Basic rational string topologypp. 243–270 Fukaya’s work on Lagrangian embeddingsp. 271 Part II Symplectic cohomology and Viterbo’s theorempp. 273–274 Contentspp. 275–278 Introductionpp. 279–321 Symplectic cohomology of cotangent bundlespp. 323–354 Operations in symplectic cohomologypp. 355–376 String topology using piecewise geodesicspp. 377–404 From symplectic cohomology to loop homologypp. 405–453 Viterbo’s theorem: surjectivitypp. 455–480 Viterbo’s theorem: isomorphismpp. 481–485 Bibliography to Part IIpp. 487–488 List of contributorspp. 489–494 Index