Lagrangian sections and holomorphic U(1)-connections

被引:4
作者
Chen, JY [1 ]
机构
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
关键词
D O I
10.2140/pjm.2002.203.139
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a correspondence between the complex gauge equivalence classes of holomorphic U (1)-connections on a smooth semi-flat special Lagrangian torus fibration and the Hamiltonian deformation classes of Lagrangian sections Sigma in the mirror manifold together with the gauge equivalence classes of at U (1)-connections on Sigma.
引用
收藏
页码:139 / 160
页数:22
相关论文
共 18 条
  • [1] THE YANG-MILLS EQUATIONS OVER RIEMANN SURFACES
    ATIYAH, MF
    BOTT, R
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1983, 308 (1505): : 523 - 615
  • [2] On four-dimensional compactifications of F-theory
    Bershadsky, M
    Johansen, A
    Pantev, T
    Sadov, V
    [J]. NUCLEAR PHYSICS B, 1997, 505 (1-2) : 165 - 201
  • [3] Donaldon S.K., 1990, OXFORD MATH MONOGRAP
  • [4] DONALDSON SK, GAUGE THEORY HIGHER
  • [5] Vector bundles and F theory
    Friedman, R
    Morgan, J
    Witten, E
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 187 (03) : 679 - 743
  • [6] GROSS M, 1999, MATHAG9909015
  • [7] GROSS M., 1999, Surv. Differ. Geom., V5, P341
  • [8] Gross M, 1998, INTEGRABLE SYSTEMS A, P156
  • [9] CALIBRATED GEOMETRIES
    HARVEY, R
    LAWSON, HB
    [J]. ACTA MATHEMATICA, 1982, 148 : 47 - 157
  • [10] Hitchin N., 1997, ANN SCUOLA NORM SU S, V25, P503