2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations
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概要
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Using the Gromov invariants and the Taubes'structure theorem, we investigate how spheres of square -1 are embedded against fibers in relatively minimal Lefschetz fibrations over S2 and show the finiteness of the geography of relatively minimal genus-2 Lefschetz fibrations containing spheres of square -1. Furthermore, we present the list of possible pairs (n, s) of the numbers of irreducible singular fibers and reducible singular fibers in such a Lefschetz fibration.
- Graduate School of Mathematical Sciences, The University of Tokyoの論文
- 2009-02-20
Graduate School of Mathematical Sciences, The University of Tokyo | 論文
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- 2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations