Overview
- Expository articles on seminal concepts from a rich and variety of research fields
- Written by distinguished researchers and exeptional speakers
- Discusses fundamental research and new directions for growth
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 287)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (16 chapters)
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Higher Structures in Geometry and Physics
Book Subtitle: In Honor of Murray Gerstenhaber and Jim Stasheff
Editors: Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-0-8176-4735-3
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-0-8176-4734-6Published: 03 December 2010
eBook ISBN: 978-0-8176-4735-3Published: 25 November 2010
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XV, 362
Number of Illustrations: 92 b/w illustrations
Topics: Topological Groups, Lie Groups, Group Theory and Generalizations, Algebraic Geometry, Mathematical Methods in Physics, Applications of Mathematics