Higher Structures in Geometry and Physics
Gebundenes Buch

Higher Structures in Geometry and Physics

In Honor of Murray Gerstenhaber and Jim Stasheff

Ed. by Alberro S. Cattaneo, Ping Xu and Anthony Giaquinto
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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 h...