國立高雄大學圖資館 |

登入

回首頁

Geometry and topology of low dimensional systemsChern-Simons theory with applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry and topology of low dimensional systemsby T. R. Govindarajan, Pichai Ramadevi.
其他題名:	Chern-Simons theory with applications /
作者:	Govindarajan, T. R.
其他作者:	Ramadevi, Pichai.
出版者:	Cham :Springer International Publishing :2024.
面頁冊數:	xiv, 167 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Low-dimensional topology.
電子資源:	https://doi.org/10.1007/978-3-031-59501-1
ISBN:	9783031595011$q(electronic bk.)

Geometry and topology of low dimensional systemsChern-Simons theory with applications /
Govindarajan, T. R.

Geometry and topology of low dimensional systemsChern-Simons theory with applications /[electronic resource] :by T. R. Govindarajan, Pichai Ramadevi. - Cham :Springer International Publishing :2024. - xiv, 167 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v. 10271616-6361 ;. - Lecture notes in physics ;650..

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.

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.

ISBN: 9783031595011$q(electronic bk.)

Standard No.: 10.1007/978-3-031-59501-1doiSubjects--Topical Terms:

467490
Low-dimensional topology.

LC Class. No.: QA612.14

Dewey Class. No.: 514.2

Geometry and topology of low dimensional systemsChern-Simons theory with applications /
LDR:02677nmm a2200337 a 4500 001 669705
003 DE-He213
005 20240916130226.0
006 m d
007 cr nn 008maaau
008 250120s2024 sz s 0 eng d
020 $a 9783031595011$q(electronic bk.)
020 $a 9783031595004$q(paper)
024 7 $a 10.1007/978-3-031-59501-1 $2 doi
035 $a 978-3-031-59501-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA612.14
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 514.2 $2 23
090 $a QA612.14 $b .G721 2024
100 1 $a Govindarajan, T. R. $3 982716
245 1 0 $a Geometry and topology of low dimensional systems $h [electronic resource] : $b Chern-Simons theory with applications / $c by T. R. Govindarajan, Pichai Ramadevi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xiv, 167 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 1616-6361 ; $v v. 1027
505 0 $a 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.
520 $a 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.
650 0 $a Low-dimensional topology. $3 467490
650 1 4 $a Mathematical Physics. $3 522725
650 2 4 $a Topology. $3 185965
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 274994
650 2 4 $a Topological Groups and Lie Groups. $3 915048
650 2 4 $a Associative Rings and Algebras. $3 274818
700 1 $a Ramadevi, Pichai. $3 982717
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in physics ; $v 650. $3 451204
856 4 0 $u https://doi.org/10.1007/978-3-031-59501-1
950 $a Physics and Astronomy (SpringerNature-11651)