Lefschetz fibrations on compact Stein surfaces

被引:79
|
作者
Akbulut, Selman [1 ]
Ozbagci, Burak [1 ]
机构
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
基金
美国国家科学基金会;
关键词
Lefschetz fibration; Stein surface; open book decomposition;
D O I
10.2140/gt.2001.5.319
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let M be a compact Stein surface with boundary. We show that M admits infinitely many pairwise nonequivalent positive allowable Lefschetz fibrations over D-2 with bounded fibers.
引用
收藏
页码:319 / 334
页数:16
相关论文
共 50 条
  • [21] Lefschetz fibrations over the disc
    Apostolakis, Nikos
    Piergallini, Riccardo
    Zuddas, Daniele
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2013, 107 : 340 - 390
  • [22] Lefschetz fibrations and symplectic homology
    McLean, Mark
    GEOMETRY & TOPOLOGY, 2009, 13 : 1877 - 1944
  • [23] CONVEX PLUMBINGS AND LEFSCHETZ FIBRATIONS
    Gay, David
    Mark, Thomas E.
    JOURNAL OF SYMPLECTIC GEOMETRY, 2013, 11 (03) : 363 - 375
  • [24] THE KODAIRA DIMENSION OF LEFSCHETZ FIBRATIONS
    Dorfmeister, Josef
    Zhang, Weiyi
    ASIAN JOURNAL OF MATHEMATICS, 2009, 13 (03) : 341 - 357
  • [25] On sections of hyperelliptic Lefschetz fibrations
    Tanaka, Shunsuke
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2012, 12 (04): : 2259 - 2286
  • [26] Existence of Broken Lefschetz Fibrations
    Baykur, R. Inanc
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
  • [27] Lefschetz fibrations with arbitrary signature
    Baykur, R. Inanc
    Hamada, Noriyuki
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2024, 26 (08) : 2837 - 2895
  • [28] FIBRATIONS AND STEIN NEIGHBORHOODS
    Forstneric, Franc
    Wold, Erlend Fornaess
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (06) : 2037 - 2042
  • [29] NONHOLOMORPHIC LEFSCHETZ FIBRATIONS WITH (-1)-SECTIONS
    Hamada, Noriyuki
    Kobayashi, Ryoma
    Monden, Naoyuki
    PACIFIC JOURNAL OF MATHEMATICS, 2019, 298 (02) : 375 - 398
  • [30] On the number of vanishing cycles in Lefschetz fibrations
    Stipsicz, AI
    MATHEMATICAL RESEARCH LETTERS, 1999, 6 (3-4) : 449 - 456