References of Singularities of special Lagrangian fibrations and the SYZ Conjecture

Chapter 232

Bibliography edges; mathematical prerequisites and exact-result citation alignment unverified.

[1] R.L. Bryant, Second order families of special Lagrangian 3-folds, math.DG/0007128, 2000.
Chapter 81: Second order families of special Lagrangian 3-folds
[2] E. Goldstein, Calibrated fibrations, math.DG/9911093, 1999.
Chapter 82: Calibrated fibrations
[3] E. Goldstein, Calibrated fibrations on complete manifolds via torus action, math.DG/0002097, 2000.
Chapter 83: Calibrated fibrations on complete manifolds via torus action
[4] E. Goldstein, Special Lagrangian submanifolds and algebraic complexity one torus actions, math.DG/0003220, 2000.
Chapter 84: Special Lagrangian submanifolds and algebraic complexity one torus actions
[5] M. Gross, Special Lagrangian fibrations I: Topology. In M.-H. Saito, Y. Shimizu, and K. Ueno, editors, Integrable Systems and Algebraic Geometry, pages 156–193, Singapore, 1998. World Scientific. alg-geom/9710006.
Chapter 85: Special Lagrangian fibrations I: Topology
[6] M. Gross, Special Lagrangian fibrations II: Geometry, math.AG/9809072, 1998.
Chapter 86: Special lagrangian fibrations II-Geometry
[7] M. Gross, Topological mirror symmetry, math.AG/9909015, 1999.
Chapter 195: Topological Mirror Symmetry
[8] M. Gross and P.M.H. Wilson, Mirror symmetry via 3-tori for a class of Calabi–Yau threefolds, Math. Ann. 309 (1997), 505–531. alg-geom/9608004.
Chapter 87: Mirror symmetry via 3-tori for a class of Calabi–Yau threefolds
[9] R. Harvey and H.B. Lawson, Calibrated geometries, Acta Mathematica 148 (1982), 47–157.
Chapter 202: Calibrated geometries
[10] D.D. Joyce, On counting special Lagrangian homology 3-spheres, hep-th/9907013, 1999.
Chapter 88: On counting special Lagrangian homology 3-spheres
[11] D.D. Joyce, Special Lagrangian m-folds in \mathbb C^m with symmetries, math.DG/0008021, 2000.
Chapter 89: Special Lagrangian m-folds in \mathbb C^m with symmetries
[12] D.D. Joyce, Constructing special Lagrangian m-folds in \mathbb C^m by evolving quadrics, math.DG/0008155, 2000.
Chapter 90: Constructing special Lagrangian m-folds in \mathbb C^m by evolving quadrics
[13] D.D. Joyce, Evolution equations for special Lagrangian 3-folds in \mathbb C^3, math.DG/0010036, 2000.
Chapter 91: Evolution equations for special Lagrangian 3-folds in \mathbb C^3
[14] R.C. McLean, Deformations of calibrated submanifolds, Communications in Analysis and Geometry 6 (1998), 705–747.
Chapter 92: Deformation of calibrated submanifolds
[15] D.R. Morrison, The geometry underlying mirror symmetry, pages 283–310 in New trends in algebraic geometry, editors K. Hulek, F. Catenese, C. Peters and M. Reid, L.M.S. Lecture Notes Series 264, C.U.P., 1999. alg-geom/9608006.
Chapter 93: The geometry underlying mirror symmetry
[16] D.R. Morrison, Compactifications of moduli spaces inspired by mirror symmetry, Asterisque 218 (1993), 243–271. alg-geom/9304007.
Chapter 94: Compactifications of moduli spaces inspired by mirror symmetry
[17] R. Racke, Lectures on nonlinear evolution equations, Aspects of Math. E19, Max-Planck Institute, Bonn, 1992.
Chapter 95: Lectures on nonlinear evolution equations
[18] W.-D. Ruan, Lagrangian tori fibration of toric Calabi–Yau manifold I, math.DG/9904012, 1999.
Chapter 17: Lagrangian torus fibrations of toric Calabi-Yau manifolds I
[19] W.-D. Ruan, Lagrangian tori fibration of toric Calabi–Yau manifold III: symplectic topological SYZ mirror construction for general quintics, math.DG/9909126, 1999.
Chapter 96: Lagrangian tori fibration of toric Calabi–Yau manifold III: symplectic topological SYZ mirror construction for general quintics
[20] W.-D. Ruan, Lagrangian torus fibration and mirror symmetry of Calabi–Yau hypersurface in toric variety, math.DG/0007028, 2000.
Chapter 18: Lagrangian torus fibrations and mirror symmetry of Calabi-Yau hypersurfaces in toric varieties
[21] W.-D. Ruan, Lagrangian torus fibration of quintic Calabi–Yau hypersurfaces II: technical results on gradient flow construction, preprint, 2000.
Chapter 97: Lagrangian torus fibration of quintic Calabi–Yau hypersurfaces II: technical results on gradient flow construction
[22] A. Strominger, S.-T. Yau, and E. Zaslow, Mirror symmetry is T-duality, Nuclear Physics B479 (1996), 243–259. hep-th/9606040.
Chapter 228: Mirror Symmetry is T-Duality
[23] I. Zharkov, Torus fibrations of Calabi–Yau hypersurfaces in toric varieties and mirror symmetry, Duke Math. J.\ 101 (2000), 237–257. alg-geom/9806091.
Chapter 21: Torus fibrations of Calabi-Yau hypersurfaces in toric varieties