Symplectic Geometry, Softcover reprint of the original 1st ed. 1994 An Introduction based on the Seminar in Bern, 1992 Progress in Mathematics Series, Vol. 124
Auteurs : Aebischer B., Borer M., Kälin M., Leuenberger C., Bach Hans Martin
1 Introduction.- 2 Darboux’ Theorem and Examples of Symplectic Manifolds.- 3 Generating Functions.- 4 Symplectic Capacities.- 5 Floer Homology.- 6 Pseudoholomorphic Curves.- 7 Gromov’s Compactness Theorem from a Geometrical Point of View.- 8 Contact structures.- A Generalities on Homology and Cohomology.- A.1 Axioms for homology.- A.2 Axioms for cohomology.- A.3 Homomorphisms of (co)homology sequences.- A.4 The (co)homology sequence of a triple.- A.5 Homotopy equivalence and contractibility.- A.6 Direct sums.- A.7 Triads.- A.8 Mayer-Vietoris sequence of a triad.- References.
Ouvrage de 244 p.
Mots-clés :
contact geometry; differential geometry; manifold; symplectic geometry; topology