The E8–manifold, singular fibers and handlebody decompositions

نویسندگان

  • Robion Kirby
  • Paul Melvin
چکیده

The E8 –manifold has several natural framed link descriptions, and we give an efficient method (via “grapes”) for showing that they are indeed the same 4–manifold. This leads to explicit handle pictures for the perturbation of singular fibers in an elliptic surface to a collection of fishtails. In the same vein, we show how the degeneration of a regular fiber to a singular fiber in an elliptic surface provides rich examples of Gromov’s compactness theorem. AMS Classification 57N13; 57R65,14J27

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تاریخ انتشار 1999