SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES

초록

We present smooth simply connected closed 4k-dimensional manifolds N := N , for each k ∈ {2, 3, … }, with distinct symplectic deformation equivalence classes [[ω ]], = 1, 2. To distinguish [[ω ]]'s, we used the symplectic invariant in [4] which depends only on the symplectic deformation equivalence class. We have computed that (N, [[ω1]]) = ∞ and (N, [[ω2]]) < 0.

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