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The E_8-manifold, singular fibers and handlebody decompositions

Robion Kirby·Paul Melvin
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Abstract

The E_8-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.

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BibTeXRIS

Robion Kirby, Paul Melvin. 1999-11-19. The E_8-manifold, singular fibers and handlebody decompositions. https://arxiv.org/abs/math/9911253

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