Custom cover image
Custom cover image

Geometry and Topology of Low Dimensional Systems : Chern-Simons Theory with Applications / by T. R. Govindarajan, Pichai Ramadevi

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Lecture Notes in Physics ; 1027Publisher: Cham : Springer International Publishing, 2024Publisher: Cham : Imprint: Springer, 2024Edition: 1st ed. 2024Description: 1 Online-Ressource(XIV, 167 p. 48 illus., 9 illus. in color.)ISBN:
  • 9783031595011
Subject(s): Genre/Form: Additional physical formats: 9783031595004 | 9783031595028 | Erscheint auch als: 9783031595004 Druck-Ausgabe | Erscheint auch als: 9783031595028 Druck-Ausgabe | Erscheint auch als: Geometry and topology of low dimensional systems. Druck-Ausgabe Cham : Springer, 2024. xiv, 167 SeitenDDC classification:
  • 530.15 23
DOI: DOI: 10.1007/978-3-031-59501-1Online resources: Summary: 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.Summary: 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.PPN: PPN: 1903370914Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-PHA | ZDB-2-SXP | ZDB-2-LNP
No physical items for this record
KIT – The Research University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT