热核与狄拉克算子（英文版）
图书信息
书名：热核与狄拉克算子（英文版）作者：波林
包装：平装
开本：24
出版社：世界图书出版公司
出版时间：2009-08-01
图书简介
Heat Kernel and Dirac Operators is a remarkable work that presents complete proofs of local index theorem for Dirac operators through the heat kernel approach. The book is the result of a seminar held in 1985 at MIT, covering various topics in differential geometry such as superconnections, equivariant differential forms, and characteristic classes. The work has found new applications since its first edition was published, giving it a continuing demand among students. It also stands out for being a monograph on topics that have no other available treatments in the field currently. While it does not have exercises, it has been widely used in advanced courses. The book is a valuable resource for researchers and graduate students looking to deepen their understanding of mathematics.
推荐理由
Heat Kernel and Dirac Operators is a must-read for anyone seeking to gain a substantial understanding of differential geometry. It is a unique and comprehensive work that presents the subject matter with unparalleled clarity and precision. The book is aimed at researchers and graduate students in mathematics who want to acquire a thorough understanding of local index theorem for Dirac operators that use the heat kernel approach. The background material on superconnections and equivariant differential forms makes this book suitable for advanced courses in differential geometry as well. If you are looking for a reliable and essential resource that presents complete proofs of local index theorem for Dirac operators, then Heat Kernel and Dirac Operators is the perfect book for you.