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Extra resources for Algebra 04 Infinite groups, Linear groups
Differential Geom. 42 (1995), 259–367. [SZ] D. Salamon, E. Zehnder, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure Appl. Math. 45 (1992), 1303–1360. [Sc1] M. Schwarz, An explicit isomorphism between Floer homology and quantum cohomology, in preparation. [Sc2] M. Schwarz, A quantum cup-length estimate for symplectic fixed points, preprint. [Sc3] M. Schwarz, Morse Homology, Progress in Mathematics 111, Birkh¨auser, 1993. [Sc4] M. D. thesis, ETH Z¨ urich, 1995.
It is often difficult to decide whether a given Jˆ and its restriction ˆ E v are regular, since this depends on all holomorphic sections J = J|T and the holomorphic curves in the fibres. Moreover, in many examples the most natural choice of Jˆ is not regular. 5 are regular. 11. Let (E, J) be a compact complex manifold, π : E → CP 1 a holomorphic map with no critical points, Ω ∈ Ω2 (E) a closed form whose restrictions Ωz = Ω|Ez are K¨ ahler forms, and i : (M, ω) → (Ez0 , Ωz0 ) an isomorphism for some z0 ∈ CP 1 .
Differential Geom. 34 (1991), 143–164. [M3] D. McDuff, Immersed spheres in symplectic 4-manifolds, Ann. Inst. Fourier 42 (1992), 369–392. [MS1] D. McDuff, D. Salamon, J-holomorphic Curves and Quantum Cohomology, Amer. Math. , University Lecture Notes Series 6, (1994). [MS2] D. McDuff, D. Salamon, Introduction to Symplectic Topology, Oxford University Press, 1995. [MS3] D. McDuff, D. Salamon, A survey of symplectic 4-manifolds with b+ = 1, Turkish J. Math. 20 (1996), 47–60. [O] K. Ono, On the Arnold conjecture for weakly monotone symplectic manifolds, Invent.
Algebra 04 Infinite groups, Linear groups