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        Lefschetz fibrations and symplectic structures

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        Jan-Willem Tel - Lefschetz fibrations and symplectic structures.pdf (1.402Mb)
        Publication date
        2015
        Author
        Tel, A.W.
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        Summary
        In this thesis, we study a relation between symplectic structures and Lefschetz ?brations to shed some light on 4-manifold theory. We introduce symplectic manifolds and state some results about them. We then introduce Lefschetz fi?brations, which are a generalization of ?fiber bundles, and discuss them briefly to obtain an intuitive understanding. The main theorem of this thesis is a result obtained by Gompf. It provides a way to construct a symplectic structure on a general Lefschetz ?fibration with homologeously nonzero fi?ber. We also discuss a generalization of this, achieved by Gompf, that generalizes this result to arbitrary even dimensions.
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        https://studenttheses.uu.nl/handle/20.500.12932/19668
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