Differential Sheaves And Connections: A Natural Approach To Physical Geometry
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A01=Anastasios Mallios
A01=Elias Zafiris
Abstract Differential Geometry
Adjoint Functors
Adjunction
Affine Geometry
Author_Anastasios Mallios
Author_Elias Zafiris
Category Theory
Category=PBMP
Category=PBW
Category=PH
Connection
Covariant Derivative
Curvature
de Rham Cohomology
Differential Geometry
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eq_nobargain
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Field Theory
Functoriality
Gauge Theory
Grothendieck Topology
Invariance
Localization
Quantum Gravity
Quantum Mechanics
Sheaf Cohomology
Sheaf Theory
Topos Theory
Vector Sheaves
Product details
- ISBN 9789814719469
- Publication Date: 04 Nov 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
