| 书目名称 | Lectures in Knot Theory | | 副标题 | An Exploration of Co | | 编辑 | Józef H. Przytycki,Rhea Palak Bakshi,Deborah Weeks | | 视频video | | | 概述 | Explores contemporary topics including skein modules, Khovanov homology and Gram determinants motivated by knots.Lectures begin with an historical overview of a topic and gives motivation for the deve | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects. By exploring contemporary topics in knot theory including those that have become mainstream, such as skein modules, Khovanov homology and Gram determinants motivated by knots, this book offers an innovative extension to the existing literature. Each lecture begins with a historical overview of a topic and gives motivation for the development of that subject. Understanding of most of the material in the book requires only a basic knowledge of topology and abstract algebra. The intended audience is beginning and advanced graduate students, advanced undergraduate students, and researchers interested in knot theory and its relations with other disciplines within mathematics, physics, biology, and chemistry..Inclusion of many exercises, open problems, and conjectures enables the reader to enhance their understanding of the subject. The use of this text for the classroom is versatile and depends on the course level and choices made by the instructor. Suggestions for variations in course coverage are included in the Preface. The lecture style and array of | | 出版日期 | Textbook 2024 | | 关键词 | Knots and links; Fox colorings; Gram determinants; History of knots; Jones polynomial; Khovanov homology; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-40044-5 | | isbn_softcover | 978-3-031-40043-8 | | isbn_ebook | 978-3-031-40044-5Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:57:10
