本文主要內容是報告用Witten形變的方法去證明Morse inequalities。主要的證明技巧在是由 Bismut 和 Lebeau 所提出的局部化的解析方法。; In this thesis, we give a report on the analytic approach to the proof of the Morse inequalities based on Witten deformation method. The analytic technique is the analytic localization method of Bismut and Lebeau. We mainly follow [18] of W. Zhang.
