| 書目名稱 | Lectures on Morse Homology | | 編輯 | Augustin Banyaga,David Hurtubise | | 視頻video | http://file.papertrans.cn/584/583544/583544.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Texts in the Mathematical Sciences | | 圖書封面 |  | | 描述 | This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo- rem 7.4) at a level appropriate for second year graduate students. The course was designed for students who had a basic understanding of singular homol- ogy, CW-complexes, applications of the existence and uniqueness theorem for O.D.E.s to vector fields on smooth Riemannian manifolds, and Sard‘s Theo- rem. We would like to thank the following students for their participation in the course and their help proofreading early versions of this manuscript: James Barton, Shantanu Dave, Svetlana Krat, Viet-Trung Luu, and Chris Saunders. We would especially like to thank Chris Saunders for his dedication and en- thusiasm concerning this project and the many helpful suggestions he made throughout the development of this text. We would also like to thank Bob Wells for sharing with us his extensive knowledge of CW-complexes, Morse theory, and singular homology. Chapters 3 and 6, in particular, benefited significantly from the many insightful conver- sations we had with Bob Wel | | 出版日期 | Textbook 2004 | | 關(guān)鍵詞 | Algebraic topology; Floer homology; Homotopy; brandonwiskunde; homology; homotopy theory; manifold; ordinar | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4020-2696-6 | | isbn_softcover | 978-90-481-6705-0 | | isbn_ebook | 978-1-4020-2696-6Series ISSN 0927-4529 | | issn_series | 0927-4529 | | copyright | Springer Science+Business Media Dordrecht 2004 |
The information of publication is updating
|
|
|Archiver|手機(jī)版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-12 12:01
發(fā)表于 2025-3-21 17:29:28
