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· 제목 : Morse Theory and Floer Homology (Paperback) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 기하학 일반
· ISBN : 9781447154952
· 쪽수 : 596쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 기하학 일반
· ISBN : 9781447154952
· 쪽수 : 596쪽
목차
Introduction to Part I.- Morse Functions.- Pseudo-Gradients.- The Morse Complex.- Morse Homology, Applications.- Introduction to Part II.- What You Need To Know About Symplectic Geometry.- The Arnold Conjecture and the Floer Equation.- The Maslov Index.- Linearization and Transversality.- Spaces of Trajectories.- From Floer To Morse.- Floer Homology: Invariance.- Elliptic Regularity.- Technical Lemmas.- Exercises for the Second Part.- Appendices: What You Need to Know to Read This Book.
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