Higher Structures in Geometry and Physics

In Honor of Murray Gerstenhaber and Jim Stasheff

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Éditeur :

Birkhäuser


Collection :

Progress in Mathematics

Paru le : 2010-11-25



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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.
Pages
362 pages
Collection
Progress in Mathematics
Parution
2010-11-25
Marque
Birkhäuser
EAN papier
9780817647346
EAN PDF
9780817647353

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
36
Taille du fichier
4424 Ko
Prix
94,94 €
EAN EPUB
9780817647353

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
36
Taille du fichier
4301 Ko
Prix
94,94 €