Journal articles (MathSciNet and arXiv)

  1. Hiroshi Iritani, Todor Milanov, Yongbin Ruan, Yefeng Shen, Gromov-Witten Theory of Quotient of Fermat Calabi-Yau varieties, arXiv:1605.08885, to appear in Memoirs of the American Mathematical Society
  2. Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, Hodge-Theoretic Mirror Symmetry for Toric Stacks, arXiv:1606.07254, to appear in Journal of Differential Geometry
  3. Tom Coates, Hiroshi Iritani, A Fock sheaf for Givental quantization, arXiv:1411.7039, to appear in Kyoto J. Math.
  4. Tom Coates, Hiroshi Iritani, Yunfeng Jiang, The Crepant Transformation Conjecture For Toric Complete Intersections, arXiv:1410.0024, Adv. Math. 329 (2018), 1002-1087.
  5. Eduardo González, Hiroshi Iritani, Seidel elements and potential functions of holomorphic disc counting, arXiv:1301.5454, Tohoku Math. J. (2) Volume 69, Number 3 (2017), 327-368.
  6. Hiroshi Iritani, A mirror construction for the big equivariant quantum cohomology of toric manifolds, arXiv:1503.02919, Mathematische Annalen, Volume 368, Issue 1 (2017) 279-316
  7. Hiroshi Iritani, Shift operators and toric mirror theorem, arXiv:1411.6840, Geometry & Topology 21-1 (2017), 315--343
  8. Hiroshi Iritani, Jifu Xiao, Extremal transition and quantum cohomology: Examples of toric degeneration, arXiv:1504.05013, Kyoto J. Math. Volume 56, Number 4 (2016), 873-905.
  9. Sergey Galkin, Vasily Golyshev, Hiroshi Iritani, Gamma classes and quantum cohomology of Fano manifolds: Gamma Conjectures, arXiv:1404.6407, Duke Math. J. 165 (2016), no. 11, 2005--2077.
  10. Tom Coates, Hiroshi Iritani, On the existence of a global neighbourhood, arXiv:1411.3092, Glasgow Math. J. 58 (2016), no. 3, 717--726.
  11. Hiroshi Iritani, Etienne Mann, Thierry Mignon, Quantum Serre theorem as a duality between quantum D-modules, arXiv:1412.4523, Int. Math. Res. Not. IMRN 2016, no. 9, 2828--2888.
  12. Tom Coates, Hiroshi Iritani, Yunfeng Jiang, Ed Segal, K-Theoretic And Categorical Properties of Toric Deligne-Mumford Stacks, arXiv:1410.0027, Pure and Applied Mathematics Quarterly, Vol. 11, No. 2 (2015), pp. 239-266.
  13. Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, A Mirror Theorem for Toric Stacks, arXiv:1310.4163, Compositio Math. 151 (2015), 1878--1912.
  14. Tom Coates, Hiroshi Iritani, On the Convergence of Gromov-Witten potentials and Givental's formula, arXiv:1203.4193, Michigan Mathematical Journal, Volume 64, Issue 3 (2015), 587--63.
  15. Hiroshi Iritani, Todor Milanov, Valentin Tonita, Reconstruction and Convergence in Quantum K-Theory via Difference Equations, arXiv:1309.3750, Int. Math. Res. Not. Volume 2015, Issue 11, (2015) 2887-2937
  16. Alessandro Chiodo, Hiroshi Iritani, Yongbin Ruan, Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence, arXiv:1201.0813, Publ. Math. Inst. Hautes Études Sci. 119 (2014) 127--216.
  17. Tom Coates, Amin Gholampour, Hiroshi Iritani, Yunfeng Jiang, Paul Johnson, Cristina Manolache, The quantum Lefschetz hyperplane principle can fail for positive orbifold hypersurfaces, arXiv:1202.2754, Math. Res. Lett. 19 (2012), no.5, 997--1005.
  18. Eduardo González, Hiroshi Iritani, Seidel elements and mirror transformations, arXiv:1103.4171, Selecta Math. (N.S.) 18 (2012), no. 3, 557--590.
  19. Hiroshi Iritani, Quantum Cohomology and Periods, arXiv:1101.4512, Ann. Inst. Fourier (Grenoble) 61 (2011), no.7, 2909--2958.
  20. Hiroshi Iritani, Ruan's conjecture and integral structures in quantum cohomology, arXiv:0809.2749, New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (RIMS, Kyoto, 2008), Adv. Stud. Pure Math. 59 (2010), 111--166.
  21. Hiroshi Iritani, An integral structure in quantum cohomology and mirror symmetry for toric orbifolds, arXiv:0903.1463, Adv. Math. 222 (2009), no. 3, 1016--1079.
  22. Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, Computing genus zero twisted Gromov-Witten invariants, arXiv:math/0702234, Duke Math. J. 147 (2009), no. 3, 377--438.
  23. Tom Coates, Hiroshi Iritani, Hsian-Hua Tseng, Wall-crossings in toric Gromov-Witten theories I, Crepant examples, arXiv:math/0611550, Geom. Topol. 13 (2009), no.5, 2675--2744.
  24. Hiroshi Iritani, Quantum D-modules and generalized mirror transformations, arXiv:math/0411111, Topology, 2008, vol 47, no.4, 225--276.
  25. Hiroshi Iritani, Convergence of quantum cohomology by quantum Lefschetz, arXiv:math/0506236, Journal für die Reine und Angewandte Mathematik, 2007, vol 610, 29--69.
  26. Hiroshi Iritani, Quantum D-modules and equivariant Floer theory for free loop spaces, arXiv:math/0410487, Mathematische Zeitschrift, 2006, vol 252, no.3, 577-622.

Preprint (arXiv)

  1. Mohammed Abouzaid, Sheel Ganatra, Hiroshi Iritani, Nick Sheridan, The Gamma and Stromiger-Yau-Zaslow Conjectures: a tropical approach to periods , arXiv.1809.02177,
  2. Tom Coates, Hiroshi Iritani, Gromov-Witten Invariants of Local P2 and Modular Forms, arXiv:1804.03292,
  3. Tom Coates, Hiroshi Iritani, Appendix to "Crepant Resolution and the Holomorphic Anomaly Equation for [C3/Z3]" by Hyenho Lho and Rahul Pandharipande, arXiv:1804.03168,
  4. Sergey Galkin, Hiroshi Iritani, Gamma conjecture via mirror symmetry arXiv:1508.00719,
  5. Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, Some Applications of the Mirror Theorem for Toric Stacks, arXiv:1401.2611,
  6. Hiroshi Iritani, tt*-geometry in quantum cohomology, arXiv:0906.1307,
  7. Hiroshi Iritani, Real and integral structures in quantum cohomology I: toric orbifolds, arXiv.0712.2204

Other articles

  1. Constructing mirrors via shift operators (July 2015), talk at AMS summer institute in Algebraic Geometry, Salt Lake City, Utah
  2. Wall-crossings in toric Gromov-Witten theory (June 2009) talk slides, Massachusetts Institute of Technology, Workshop on Mirror Symmetry and Related Topics
  3. The S1 equivariant cohomology of the Universal Covering of Free Loop Spaces (April 2003), part of my master thesis

Articles in Japanese

  1. 量子コホモロジーのガンマ構造について (On the Gamma structure of quantum cohomology), 数学,第68巻,第4号 (2016) 337-360
  2. トーリック多様体のミラー対称性 (Mirror symmetry for toric varieties), 日本数学会秋季総合分科会,幾何学分科会特別講演 (2015) 予稿
  3. Fano多様体のガンマ予想 (Gamma conjecture for Fano manifolds), ミラー対称性の展望,数理解析研究所講究録,1918 (2014) 71-87
  4. 量子コホモロジーにおけるK理論整構造とミラー対称性 (K-theory integral structure in quantum cohomology and mirror symmetry), 代数幾何学城崎シンポジウム(2010)予稿集
  5. 量子コホモロジーの整構造について (Integral structures in quantum cohomology), 可積分系に関わる幾何学の研究, 数理解析研究所講究録,1605 (2008) 22-32.
  6. 量子D加群の大域的構造 (A global structure of quantum D-modules), 日本数学会秋季総合分科会,幾何学分科会特別講演 (2006) 予稿
  7. トーリック多様体に付随するq差分系 (A q-difference system associated with a toric variety), Symplectic Varieties and related topics, Hokkaido University (2005) 予稿 (未出版)
  8. アルカンの構造異性体の組合せ論的数え上げ (The combinatorial enumeration of structural isomers of alkanes), Journal of Chemical Software Vol 5, (1999) No 2, 65-80