图书简介

Preface: why projective?; 1. Introduction; 2. The geometry of the projective line; 3. The algebra of the projective line and cohomology of Diff(S1); 4. Vertices of projective curves; 5. Projective invariants of submanifolds; 6. Projective structures on smooth manifolds; 7. Multi-dimensional Schwarzian derivatives and differential operators; Appendix 1. Five proofs of the Sturm theorem; Appendix 2. The language of symplectic and contact geometry; Appendix 3. The language of connections; Appendix 4. The language of homological algebra; Appendix 5. Remarkable cocycles on groups of diffeomorphisms; Appendix 6. The Godbillon–Vey class; Appendix 7. The Adler–Gelfand–Dickey bracket and infinite-dimensional Poisson geometry; Bibliography; Index.

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