Free Loop Spaces in Geometry and Topology

Janko Latschev; Alexandru Oancea

doi:10.4171/153

pp. i–iv
Frontmatter
pp. v–vi
Contents
pp. 1–17
Introduction
p. 19
Part I A panorama of topology, geometry and algebra
pp. 21–65
algebra
pp. 67–109
Morse theory, closed geodesics, and the homology of free loop spaces
pp. 111–136
Rational homotopy – Sullivan models
pp. 137–156
Free loop space and homology
pp. 157–163
Appendix to the chapter by J.-L. Loday
pp. 165–222
On algebraic structures of the Hochschild complex
pp. 223–242
Basic rational string topology
pp. 243–270
Fukaya’s work on Lagrangian embeddings
p. 271
Part II Symplectic cohomology and Viterbo’s theorem
pp. 273–274
Contents
pp. 275–278
Introduction
pp. 279–321
Symplectic cohomology of cotangent bundles
pp. 323–354
Operations in symplectic cohomology
pp. 355–376
String topology using piecewise geodesics
pp. 377–404
From symplectic cohomology to loop homology
pp. 405–453
Viterbo’s theorem: surjectivity
pp. 455–480
Viterbo’s theorem: isomorphism
pp. 481–485
Bibliography to Part II
pp. 487–488
List of contributors
pp. 489–494
Index