Contact surgeries on Legendrian figure-eight knots

被引：1
|
作者：
Conway, James [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, 970 Evans Hall 3840, Berkeley, CA 94720 USA
来源：
JOURNAL OF SYMPLECTIC GEOMETRY | 2019年 / 17卷 / 04期
关键词：
HEEGAARD FLOER INVARIANTS; SZABO INVARIANTS; 3-MANIFOLDS;
D O I：
10.4310/JSG.2019.v17.n4.a4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that all positive contact surgeries on every Legendrian figure-eight knot in (S-3, xi(std)) result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.
引用
收藏
页码：1061 / 1078
页数：18
相关论文
共 50 条
  • [41] Constructing Figure-Eight Structures by Inner-Bond Cleavage
    Fukui, Norihito
    SYNLETT, 2025,
  • [42] Computing immersed normal surfaces in the figure-eight knot complement
    Rannard, R
    EXPERIMENTAL MATHEMATICS, 1999, 8 (01) : 73 - 84
  • [43] Dual-wavelength operation of a figure-eight fiber laser
    Pottiez, O.
    Hernandez-Garcia, J. C.
    Ibarra-Escamilla, B.
    Kuzin, E. A.
    LASER PHYSICS, 2012, 22 (10) : 1565 - 1572
  • [44] Dissipative soliton resonance in a figure-eight multimode fiber laser
    Zhao, Bang
    Zhao, Tian-Xu
    Liu, Guang-Xin
    Zhao, Nan
    Cui, Hu
    Luo, Zhi-Chao
    Xu, Wen-Cheng
    Luo, Ai-Ping
    OPTICS EXPRESS, 2023, 31 (11) : 17354 - 17363
  • [45] Constructing thin subgroups commensurable with the figure-eight knot group
    Ballas, Samuel
    Long, Darren D.
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2015, 15 (05): : 3011 - 3024
  • [46] A Restricted Four-body Problem for the Figure-eight Choreography
    Lara, Ricardo
    Bengochea, Abimael
    REGULAR & CHAOTIC DYNAMICS, 2021, 26 (03): : 222 - 235
  • [47] High-energy femtosecond figure-eight fiber laser
    Tsun, TO
    Islam, MK
    Chu, PL
    OPTICS COMMUNICATIONS, 1997, 141 (1-2) : 65 - 68
  • [48] The colored Jones polynomial of the figure-eight knot and a quantum modularity
    Murakami, Hitoshi
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2024, 76 (02): : 519 - 554
  • [49] Generation of long broadband pulses with a figure-eight fiber laser
    Hernandez-Garcia, J. C.
    Pottiez, O.
    Grajales-Coutino, R.
    Ibarra-Escamilla, B.
    Kuzin, E. A.
    Estudillo-Ayala, J. M.
    Gutierrez-Gutierrez, J.
    LASER PHYSICS, 2011, 21 (08) : 1518 - 1524
  • [50] Double-sided isosceles triangular and figure-eight antennas
    Nasr, MA
    Elkamchouchi, H
    IEEE ANTENNAS AND PROPAGATION SOCIETY SYMPOSIUM, VOLS 1-4 2004, DIGEST, 2004, : 699 - 702
12345