Higher Structures in Geometry and Physics In Honor of Murray Gerstenhaber and Jim Stasheff /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Cattaneo, Alberto S. (Επιμελητής έκδοσης), Giaquinto, Anthony (Επιμελητής έκδοσης), Xu, Ping (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2011.
• Σειρά: Progress in Mathematics ; 287
• Θέματα: Mathematics.; Algebraic geometry.; Group theory.; Topological groups.; Lie groups.; Applied mathematics.; Engineering mathematics.; Physics.; Topological Groups, Lie Groups.; Group Theory and Generalizations.; Algebraic Geometry.; Mathematical Methods in Physics.; Applications of Mathematics.

This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical ph...

Πίνακας περιεχομένων:

• 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.