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 phys...
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| Autor principal: | |
|---|---|
| Outros Autores: | , , , |
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2011. |
| Colecção: | Progress in Mathematics
287 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 20 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Higher structures in geometry and physics, in honor of Murray Gerstenhaber and Jim Stasheff, Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu, editors, [Basel], Birkhäuser, Springer, 2011, 1 vol. (XV-362 p.), Progress in mathematics, 978-0-8176-4734-6 • Higher structures in geometry and physics, in honor of Murray Gerstenhaber and Jim Stasheff, Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu, editors, [Basel], Birkhäuser, Springer, 2011, 1 vol. (XV-362 p.), Progress in mathematics, 978-0-8176-4734-6 • Higher Structures in Geometry and Physics, Texte imprimé, 9780817672317 |
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| 100 | 1 | |a Cattaneo, Alberto, |d 1967- | |
| 245 | 1 | 0 | |a Higher structures in geometry and physics : |b in honor of Murray Gerstenhaber and Jim Stasheff |c Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu, Editors. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 287 |x 2296-505X | |
| 500 | |a Description d'après consultation du 20 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. The ideas of higher homotopies and algebraic deformation have a growing number of theoretical applications and have played a prominent role in recent mathematical advances. For example, algebraic versions of higher homotopies have led eventually to the proof of the formality conjecture and the deformation quantization of Poisson manifolds. As observed in deformations and deformation philosophy, a basic observation is that higher homotopy structures behave much better than strict structures. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. Higher Structures in Geometry and Physics is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures. Contributors: L. Breen, A.S. Cattaneo, M. Cahen, V.A. Dolgushev, G. Felder, A. Giaquinto, S. Gutt, J. Huebschmann, T. Kadeishvili, H. Kajiura, B. Keller, Y. Kosmann-Schwarzbach, J.-L. Loday, S.A. Merkulov, D. Sternheimer, D.E. Tamarkin, C. Torossian, B.L. Tsygan, S. Waldmann, R.N. Umble | ||
| 650 | |a Géométrie algébrique |x Mélanges et hommages | ||
| 650 | |a Physique mathématique |x Mélanges et hommages | ||
| 700 | 1 | |a Giaquinto, Anthony. |4 edt | |
| 700 | 1 | |a Xu, Ping. |4 edt | |
| 700 | 1 | |a Giaquinto, Anthony, |d 19..- |4 edt | |
| 700 | 1 | |a Xu, Ping, |d 19..-...., |c mathématicien. |4 edt | |
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| 776 | 0 | |0 149720440 |t Higher structures in geometry and physics |o in honor of Murray Gerstenhaber and Jim Stasheff |f Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu, editors |c [Basel] |n Birkhäuser |n Springer |d 2011 |p 1 vol. (XV-362 p.) |s Progress in mathematics |z 978-0-8176-4734-6 | |
| 776 | 0 | |t Higher Structures in Geometry and Physics |b Texte imprimé |z 9780817672317 | |
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