Geometry and Topology of Low Dimensional Systems Chern-Simons Theory with Applications /
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 c...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | الإنجليزية |
| منشور في: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
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| الطبعة: | 1st ed. 2024. |
| سلاسل: | Lecture Notes in Physics,
1027 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-3-031-59501-1 |
| الوسوم: |
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جدول المحتويات:
- 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.