Differential Sheaves and Connections: A Natural Approach to Physical Geometry (Hardcover) (ISBN-13: 9789814719469)

This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.

Author: Anastasios Mallios, Elias Zafiris
ISBN-10: 9814719463
ISBN-13: 9789814719469
Publisher: World Scientific Publishing Company
Language: English
Published: 11/04/2015
Pages: 304
Format: Hardcover
Weight: 1.45lbs
Size: 9.80h x 6.60w x 0.90d