| 书目名称 | From Differential Geometry to Non-commutative Geometry and Topology |
| 编辑 | Neculai S. Teleman |
| 视频video | |
| 概述 | Compiles all the tools and results of index theory, so the reader obtains a good overview of the topic.Shows that the index formula is a topological statement, giving the reader a new perspective on i |
| 图书封面 |  |
| 描述 | .This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.. |
| 出版日期 | Book 2019 |
| 关键词 | index theory; non-commutative topology; non-commutative geometry; Atiyah-Singer theorem; global analysis |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-28433-6 |
| isbn_softcover | 978-3-030-28435-0 |
| isbn_ebook | 978-3-030-28433-6 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 19:34:44
