Classification of broken Lefschetz fibrations with small fiber genera

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Author(s)

Abstract

In this article, we generalize the classification of genus one Lefschetz fibrations to genus one simplified broken Lefschetz fibrations, which have fibers of genera one and zero. We classify genus one Lefschetz fibrations over the 2-disk with certain non-trivial global monodromies using chart descriptions, and identify the 4-manifolds admitting genus one simplified broken Lefschetz fibrations up to blow-ups.

Journal

  • Journal of the Mathematical Society of Japan

    Journal of the Mathematical Society of Japan 67(3), 877-901, 2015

    The Mathematical Society of Japan

Codes

  • NII Article ID (NAID)
    130005094185
  • NII NACSIS-CAT ID (NCID)
    AA0070177X
  • Text Lang
    ENG
  • ISSN
    0025-5645
  • NDL Article ID
    026602929
  • NDL Call No.
    Z53-A209
  • Data Source
    NDL  J-STAGE 
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