TY  - BOOK
AU  - Govindarajan,T.R.
AU  - Ramadevi,Pichai
ED  - SpringerLink (Online service)
TI  - Geometry and Topology of Low Dimensional Systems: Chern-Simons Theory with Applications 
T2  - Lecture Notes in Physics,
SN  - 9783031595011
AV  - QC19.2-20.85 
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematical physics
KW  - Topology
KW  - Elementary particles (Physics)
KW  - Quantum field theory
KW  - Topological groups
KW  - Lie groups
KW  - Associative rings
KW  - Associative algebras
KW  - Mathematical Physics
KW  - Elementary Particles, Quantum Field Theory
KW  - Topological Groups and Lie Groups
KW  - Associative Rings and Algebras
N1  - Introduction -- Differentiable Manifolds and Geometry -- Riemannian and Pseudo Riemannian Geometry -- Topological Understanding of Defects in Crystalline Structure -- Configuration Space Topology and Topological Conservation Laws -- Spin Statistics Theorem, and Low Dimensional Geometry and Topology -- Braid Group, Knots, Three Manifolds -- Chern-Simons Field Theory -- 3D Gravity as Topological Quantum Field Theory
N2  - This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems. The authors discuss applications in various areas of physics. The first chapters of the book cover the formal aspects of topology, including classes, homotopic groups, metric spaces, and Riemannian and pseudo-Riemannian geometry. These topics are essential for understanding the theoretical concepts and notations used in the next chapters of the book. The applications encompass defects in crystalline structures, space topology, spin statistics, Braid group, Chern-Simons field theory, and 3D gravity, among others. This self-contained book provides all the necessary additional material for both physics and mathematics students. The presentation is enriched with examples and exercises, making it accessible for readers to grasp the concepts with ease. The authors adopt a pedagogical approach, posing many unsolved questions in simple situations that can serve as challenging projects for students. Suitable for a one-semester postgraduate level course, this text is ideal for teaching purposes
UR  - https://doi.org/10.1007/978-3-031-59501-1
ER  -