株式会社極東書店トップ ＞ 商品一覧 ＞ Geometry, Topology and Operator Algebras: Global Analysis, Invariants and Their Significance in Theoretical Physics.
商品詳細
Geometry, Topology and Operator Algebras: Global Analysis, Invariants and Their Significance in Theoretical Physics.
・ISBN 978-3-031-82321-3 paper EUR 79.99
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| 著者・編者 | Cardona, Alexander / Reyes Lega, Andres F. (eds.), |
|---|---|
| シリーズ | (Mathematical Physics Studies) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2026 |
| ページ数 | 281 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A05-80441＞ |
解説
This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications. Originating from lectures presented by experts during two summer schools held in Villa de Leyva, Colombia, the book reflects the synergy between global analysis, operator algebras, and their role in modern physics.
The chapters present state-of-the-art developments on a wide range of topics: the geometry and topology of foliations, affine manifolds, C*-algebras, and the pseudo-differential calculus of boundary value problems. These are enriched by applications to the theory of topological quantum matter.
The book is suitable for graduate students and researchers, offering detailed introductions to advanced topics such as the longitudinal index theorem for foliations, the geometry of the Poincare half-space in a C*-algebra, and mathematical frameworks for topological matter. With a balance of foundational material and novel insights, it serves as both a learning resource and a reference for advanced studies at the intersection of mathematics and physics.