Transcription of INTRODUCTION TO DIFFERENTIAL TOPOLOGY
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INTRODUCTION TO DIFFERENTIAL TOPOLOGY
INTRODUCTION TODIFFERENTIAL TOPOLOGYJoel W. RobbinUW MadisonDietmar A. SalamonETH Z urich14 August 2018iiPrefaceThese are notes for the lecture course DIFFERENTIAL Geometry II held by thesecond author at ETH Z urich in the spring semester of 2018. A prerequisiteis the foundational chapter about smooth manifolds in [21] as well as somebasic results about geodesics and the exponential map. For the benefit ofthe reader we summarize some of the relevant background material in thefirst chapter and in the appendix. The lecture course covered the content ofChapters 1 to 7 (except Section ).The first half of this book deals with degree theory and the Pointar e Hopftheorem, the Pontryagin construction, intersection theory, and Lefschetznumbers.
Joel W. Robbin UW Madison Dietmar A. Salamon ETH Zuric h 14 August 2018. ii. Preface These are notes for the lecture course \Di erential Geometry II" held by the second author at ETH Zuric h in the spring semester of 2018. A prerequisite is the foundational chapter about smooth manifolds in [21] as well as some
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