Higher Structures in Geometry and Physics

1. Topics in Algebraic Deformation Theory
Anthony Giaquinto

2. Origins and Breadth of the Theory of Higher Homotopies
Johannes Huebschmann

3. The Deformation Philosophy, Quantization and Noncommutative Space-Time
Structures
Daniel Sternheimer

4. Differential Geometry of Gerbes and Differential Forms
Lawrence Breen

5. Symplectic Connections of Ricci Type and Star Products
Michel Cahen, Simone Gutt, Stefan Waldmann

6. Effective Batalin–Vilkovisky Theories, Equivariant Configuration Spaces and
Cyclic Chains
Alberto S. Cattaneo, Giovanni Felder

7. Noncommutative Calculus and the Gauss–Manin Connection
V. A. Dolgushev, D. E. Tamarkin, B. L. Tsygan

8. The Lie Algebra Perturbation Lemma
Johannes Huebschmann

9. Twisting Elements in Homotopy G-Algebras
T. Kadeishvili

10. Homological Perturbation Theory and Homological Mirror Symmetry
Hiroshige Kajiura

11. Categorification of Acyclic Cluster Algebras: An Introduction
Bernhard Keller

12. Poisson and Symplectic Functions in Lie Algebroid Theory
Yvette Kosmann-Schwarzbach

13. The Diagonal of the Stasheff Polytope
Jean-Louis Loday

14. Permutahedra, HKR Isomorphism and Polydifferential Gerstenhaber–Schack Complex
S. A. Merkulov

15. Applications de la bi-quantification à la théorie de Lie
Charles Torossian

16. Higher Homotopy Hopf Algebras Found: A Ten Year Retrospective
Ronold N. Umble

Keywords: Mathematics, Topological Groups, Lie Groups, Group Theory and Generalizations, Algebraic Geometry, Mathematical Methods in Physics, Applications of Mathematics