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

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Cattaneo, Alberto S. (Editor ), Giaquinto, Anthony (Editor ), Xu, Ping (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Progress in Mathematics, 287
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.