| 书目名称 | The Universal Coefficient Theorem and Quantum Field Theory |
| 副标题 | A Topological Guide |
| 编辑 | Andrei-Tudor Patrascu |
| 视频video | |
| 概述 | Nominated as an outstanding Ph.D. thesis by University College London, UK.Offers a pedagogical introduction to algebraic topology for a rapid development of basic skills.Provides a step-by-step approa |
| 丛书名称 | Springer Theses |
| 图书封面 |  |
| 描述 | This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point ofview, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with |
| 出版日期 | Book 2017 |
| 关键词 | Quantum Field Theory and Topology; Algebraic Topology for Physics; Universal Coefficient Theorem; Homol |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-46143-4 |
| isbn_softcover | 978-3-319-83451-1 |
| isbn_ebook | 978-3-319-46143-4Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
| issn_series | 2190-5053 |
| copyright | Springer International Publishing Switzerland 2017 |
发表于 2025-3-21 16:14:37
