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 Basics on free loop spacesDavid ChataurAlexandru Oancea
pp. 67–109 Morse theory, closed geodesics, and the homology of free loop spacesAlexandru Oancea
pp. 111–136 Rational homotopy – Sullivan modelsLuc Menichi
pp. 137–156 Free loop space and homologyJean-Louis Loday
pp. 157–163 Appendix to the chapter by J.-L. LodayJanko Latschev
pp. 165–222 On algebraic structures of the Hochschild complexHossein Abbaspour
pp. 223–242 Basic rational string topologyYves Félix
pp. 243–270 Fukaya’s work on Lagrangian embeddingsJanko Latschev
p. 271 Part II Symplectic cohomology and Viterbo’s theorempp. 273–274 Contentspp. 275–278 Introductionpp. 279–321 Symplectic cohomology of cotangent bundlesMohammed Abouzaid
pp. 323–354 Operations in symplectic cohomologyMohammed Abouzaid
pp. 355–376 String topology using piecewise geodesicsMohammed Abouzaid
pp. 377–404 From symplectic cohomology to loop homologyMohammed Abouzaid
pp. 405–453 Viterbo’s theorem: surjectivityMohammed Abouzaid
pp. 455–480 Viterbo’s theorem: isomorphismMohammed Abouzaid
pp. 481–485 Bibliography to Part IIpp. 487–488 List of contributorspp. 489–494 Index