References of Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I

Chapter 229

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

[AGM93] Paul S. Aspinwall, Brian R. Greene, and David R. Morrison. The monomial-divisor mirror map. Internat. Math. Res. Notices, (12):319–337, 1993.
Chapter 2: The monomial-divisor mirror map
[Bat94] Victor V. Batyrev. Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties. J. Alg. Geom., 3:493–535, 1994.
Chapter 3: Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties
[Bjo95] Anders Bjorner. Topological methods. In R. L. Graham, editor, Handbook of Combinatorics, pages 1819–1872. Elsevier, 1995.
Chapter 4: Topological methods
[Dan78] Vladimir I. Danilov. The geometry of toric varieties. Uspekhi Mat. Nauk, 33(2(200)):85–134, 247, 1978.
Chapter 5: The geometry of toric varieties
[Ful93] William Fulton. Introduction to Toric Varieties, volume 131 of Annals of Math. Studies. Princeton University Press, 1993.
Chapter 6: Introduction to Toric Varieties
[GKZ94] Israel M. Gelfand, Mikhail M. Kapranov, and Andrei V. Zelevinsky. Discriminants, Resultants, and Multidimensional Determinants. Mathematics: Theory & Applications. Birkhauser, 1994.
Chapter 7: Discriminants, Resultants, and Multidimensional Determinants
[GP88] Jacob E. Goodman and Janos Pach. Cell decomposition of polytopes by bending. Israel J. Math., 64(2):129–138, 1988.
Chapter 8: Cell decomposition of polytopes by bending
[Gro01] Mark Gross. Topological mirror symmetry. Invent. Math., 144(1):75–137, 2001.
Chapter 195: Topological Mirror Symmetry
[Gru67] Branko Grunbaum. Convex Polytopes. Interscience, London, 1967.
Chapter 9: Convex Polytopes
[Gui94] Victor Guillemin. Kahler structures on toric varieties. J. Differential Geom., 40(2):285–309, 1994.
Chapter 10: Kahler structures on toric varieties
[GW00] Mark Gross and Pelham M.H. Wilson. Large complex structure limits of K3 surfaces. J. Differential Geom., 55(3):475–546, 2000.
Chapter 197: Large Complex Structure Limits of K3 Surfaces
[Kap00] Mikhail Kapranov. Amoebas over non-archimedean fields. Preprint, 2000.
Chapter 11: Amoebas over non-archimedean fields
[Kon00] Maxim Kontsevich. Lectures at Rutgers University. October 2000.
Chapter 12: Lectures at Rutgers University
[KS01] Maxim Kontsevich and Yan Soibelman. Homological mirror symmetry and torus fibrations. In Symplectic geometry and mirror symmetry (Seoul, 2000), pages 203–263. World Sci. Publishing, River Edge, NJ, 2001.
Chapter 209: Homological mirror symmetry and torus fibrations
[Lee97] Carl W. Lee. Subdivisions and triangulations of polytopes. In Jacob E. Goodman and Joseph O'Rourke, editors, Handbook of Discrete and Computational Geometry, pages 271–290. CRC–Press, New York, 1997.
Chapter 13: Subdivisions and triangulations of polytopes
[Mik01] Grigory Mikhalkin. Amoebas of algebraic varieties. Preprint math.AG/0108225, 2001.
Chapter 14: Amoebas of algebraic varieties
[Mik02] Grigory Mikhalkin. Decomposition into pairs-of-pants for complex algebraic hypersurfaces. Preprint math.GT/0205011, 2002.
Chapter 221: Decomposition into pairs-of-pants for complex algebraic hypersurfaces
[Mor00] David R. Morrison. Lectures at RIMS Kyoto. June 2000.
Chapter 15: Lectures at RIMS Kyoto
[Oda88] Tadao Oda. Convex Bodies and Algebraic Geometry. An Introduction to the Theory of Toric Varieties, volume 15 of Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer–Verlag, 1988.
Chapter 16: Convex Bodies and Algebraic Geometry. An Introduction to the Theory of Toric Varieties
[Rua99] Wei-Dong Ruan. Lagrangian torus fibrations of toric Calabi-Yau manifolds I. Preprint math.DG/9904012, 1999.
Chapter 17: Lagrangian torus fibrations of toric Calabi-Yau manifolds I
[Rua00] Wei-Dong Ruan. Lagrangian torus fibrations and mirror symmetry of Calabi-Yau hypersurfaces in toric varieties. Preprint math.DG/0007028, 2000.
Chapter 18: Lagrangian torus fibrations and mirror symmetry of Calabi-Yau hypersurfaces in toric varieties
[Smi87] Zeev Smilansky. Decomposability of polytopes and polyhedra. Geom. Dedicata, 24(1):29–49, 1987.
Chapter 19: Decomposability of polytopes and polyhedra
[SYZ96] Andrew Strominger, Shing-Tung Yau, and Eric Zaslow. Mirror symmetry is T-duality. Nuclear Phys. B, 479(1-2):243–259, 1996.
Chapter 228: Mirror Symmetry is T-Duality
[Thu80] William P. Thurston. Three-dimensional geometry and topology. Lecture notes, available at http://msri.org/publications/books/gt3m/, 1980.
Chapter 20: Three-dimensional geometry and topology
[Zha00] Ilia Zharkov. Torus fibrations of Calabi-Yau hypersurfaces in toric varieties. Duke Math. J., 101(2):237–257, 2000.
Chapter 21: Torus fibrations of Calabi-Yau hypersurfaces in toric varieties