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Higher Structures in Geometry and Physics

Alberto S. Cattaneo, Anthony Giaquinto, and Ping Xu, editors
Publisher: 
Birkhäuser
Publication Date: 
2011
Number of Pages: 
362
Format: 
Hardcover
Series: 
Progress in Mathematics 287
Price: 
124.00
ISBN: 
9780817647346
Category: 
Festschrift
We do not plan to review this book.

Topics in Algebraic deformation theory.- Origins and breadth of the theory of higher homotopies.- The deformation philosophy, quantization and noncommutative space-time structures.- Differential geometry of Gerbes and differential forms.- Symplectic connections of Ricci type and star products.- Effective Batalin–Vilkovisky theories, equivariant configuration spaces and cyclic chains.- Noncommutative calculus and the Gauss-Manin connection.- The Lie algebra perturbation lemma.- Twisting Elements in Homotopy G-algebras.- Homological perturbation theory and homological mirror symmetry.- Categorification of acyclic cluster algebras: an introduction.- Poisson and symplectic functions in Lie algebroid theory.- The diagonal of the Stasheff polytope.- Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex.- Applications de la bi-quantification a la théorie de Lie.- Higher homotopy Hopf algebras found: A ten year retrospective