1. Preface

   • Anton Alekseev
   • Alberto S. Cattaneo
   • Tudor S. Ratiu

   Editorial 27 September 2009 Pages: 1 - 1

2. The Inception of Symplectic Geometry: the Works of Lagrange and Poisson During the Years 1808–1810

   • Charles-Michel Marle

   OriginalPaper 17 October 2009 Pages: 3 - 21

3. The Atiyah Algebroid of the Path Fibration over a Lie Group

   • Anton Alekseev
   • Eckhard Meinrenken

   OriginalPaper 24 September 2009 Pages: 23 - 58

4. Linear and Multiplicative 2-Forms

   • Henrique Bursztyn
   • Alejandro Cabrera
   • Cristián Ortiz

   OriginalPaper 24 September 2009 Pages: 59 - 83

5. On L _∞-Morphisms of Cyclic Chains

   • Alberto Sergio Cattaneo
   • Giovanni Felder
   • Thomas Willwacher

   OriginalPaper 25 September 2009 Pages: 85 - 101

6. Formality Theorems for Hochschild Complexes and Their Applications

   • Vasiliy Dolgushev
   • Dmitry Tamarkin
   • Boris Tsygan

   OriginalPaper Open access 26 September 2009 Pages: 103 - 136

7. Integrability of Poisson–Lie Group Actions

   • Rui Loja Fernandes
   • David Iglesias Ponte

   OriginalPaper 25 September 2009 Pages: 137 - 159

8. Completeness of Determinantal Hamiltonian Flows on the Matrix Affine Poisson Space

   • Michael Gekhtman
   • Milen Yakimov

   OriginalPaper Open access 22 September 2009 Pages: 161 - 173

9. Duality Functors for Triple Vector Bundles

   • Alfonso Gracia-Saz
   • Kirill Charles Howard Mackenzie

   OriginalPaper 26 September 2009 Pages: 175 - 200

10. Equivariant Cohomology over Lie Groupoids and Lie–Rinehart Algebras

    • Johannes Huebschmann

    OriginalPaper Open access 27 October 2009 Pages: 201 - 251

11. Fomenko–Mischenko Theory, Hessenberg Varieties, and Polarizations

    • Bertram Kostant

    OriginalPaper 07 October 2009 Pages: 253 - 285

12. On the Algebraic Index for Riemannian Étale Groupoids

    • Markus J. Pflaum
    • Hessel Posthuma
    • Xiang Tang

    OriginalPaper Open access 01 October 2009 Pages: 287 - 310

13. Courant–Dorfman Algebras and their Cohomology

    • Dmitry Roytenberg

    OriginalPaper Open access 24 September 2009 Pages: 311 - 351

14. The Volume of a Differentiable Stack

    • Alan Weinstein

    OriginalPaper Open access 22 September 2009 Pages: 353 - 371

15. Generalized Kähler Geometry, Gerbes, and all that

    • Maxim Zabzine

    OriginalPaper 07 October 2009 Pages: 373 - 382

16. Kan Replacement of Simplicial Manifolds

    • Chenchang Zhu

    OriginalPaper Open access 26 September 2009 Pages: 383 - 405

17. Postface

    • Anton Alekseev
    • Alberto S. Cattaneo
    • Giuseppe Dito

    Editorial 27 September 2009 Pages: 407 - 407