Chan, Kaileung; Leung, Naichung Conan; Ma, Ziming Nikolas Fukaya’s conjecture on Witten’s twisted \(A_\infty\) structure. (English) Zbl 1486.53101 J. Differ. Geom. 118, No. 3, 399-455 (2021). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 53D37 53D45 14N35 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Differ. Geom. 118, No. 3, 399--455 (2021; Zbl 1486.53101) Full Text: DOI arXiv
Chan, Kwokwai; Lau, Siu-Cheong; Leung, Naichung Conan; Tseng, Hsian-Hua Open Gromov-Witten invariants and mirror maps for semi-Fano toric manifolds. (English) Zbl 1469.53131 Pure Appl. Math. Q. 16, No. 3, 675-720 (2020). MSC: 53D37 14J33 14N35 32S20 53D12 53D20 53D45 PDFBibTeX XMLCite \textit{K. Chan} et al., Pure Appl. Math. Q. 16, No. 3, 675--720 (2020; Zbl 1469.53131) Full Text: DOI arXiv
Leung, Naichung Conan; Li, Changzheng An update of quantum cohomology of homogeneous varieties. (English) Zbl 1379.14028 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-349-4/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 37, 211-235 (2017). MSC: 14N35 14M15 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{C. Li}, Adv. Lect. Math. (ALM) 37, 211--235 (2017; Zbl 1379.14028) Full Text: arXiv
Cao, Yalong; Leung, Naichung Conan Relative Donaldson-Thomas theory for Calabi-Yau 4-folds. (English) Zbl 1373.14053 Trans. Am. Math. Soc. 369, No. 9, 6631-6659 (2017). Reviewer: Sergiy Koshkin (Houston) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{N. C. Leung}, Trans. Am. Math. Soc. 369, No. 9, 6631--6659 (2017; Zbl 1373.14053) Full Text: DOI arXiv
Cao, Yalong; Leung, Naichung Conan Orientability for gauge theories on Calabi-Yau manifolds. (English) Zbl 1365.14071 Adv. Math. 314, 48-70 (2017). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14N35 14J32 53C27 81T13 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{N. C. Leung}, Adv. Math. 314, 48--70 (2017; Zbl 1365.14071) Full Text: DOI arXiv
Chan, Kwokwai; Lau, Siu-Cheong; Leung, Naichung Conan Erratum to: “SYZ mirror symmetry for toric Calabi-Yau manifolds”. (English) Zbl 1305.53084 J. Differ. Geom. 99, No. 1, 165-167 (2015). MSC: 53D37 53D45 14J33 14N35 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Differ. Geom. 99, No. 1, 165--167 (2015; Zbl 1305.53084) Full Text: DOI Euclid
Leung, Naichung Conan; Li, Changzheng Quantum Pieri rules for tautological subbundles. (English) Zbl 1291.14083 Adv. Math. 248, 279-307 (2013). Reviewer: Letterio Gatto (Torino) MSC: 14N35 14M15 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{C. Li}, Adv. Math. 248, 279--307 (2013; Zbl 1291.14083) Full Text: DOI arXiv
Leung, Naichung Conan; Wang, Xiaowei; Zhu, Ke Thin instantons in \(G_2\)-manifolds and Seiberg-Witten invariants. (English) Zbl 1315.53056 J. Differ. Geom. 95, No. 3, 419-481 (2013). MSC: 53C38 53C25 14J80 57R57 PDFBibTeX XMLCite \textit{N. C. Leung} et al., J. Differ. Geom. 95, No. 3, 419--481 (2013; Zbl 1315.53056) Full Text: DOI arXiv Euclid
Leung, Naichung Conan; Li, Changzheng Classical aspects of quantum cohomology of generalized flag varieties. (English) Zbl 1252.14038 Int. Math. Res. Not. 2012, No. 16, 3706-3722 (2012). Reviewer: Amin Gholampour (College Park) MSC: 14N35 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{C. Li}, Int. Math. Res. Not. 2012, No. 16, 3706--3722 (2012; Zbl 1252.14038) Full Text: DOI arXiv
Chan, Kwokwai; Lau, Siu-Cheong; Leung, Naichung Conan SYZ mirror symmetry for toric Calabi-Yau manifolds. (English) Zbl 1297.53061 J. Differ. Geom. 90, No. 2, 177-250 (2012); erratum ibid. 99, No. 1, 165-167 (2015). MSC: 53D37 53D45 14J33 14N35 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Differ. Geom. 90, No. 2, 177--250 (2012; Zbl 1297.53061) Full Text: DOI arXiv Euclid
Leung, Naichung Conan; Li, Changzheng Gromov-Witten invariants for \(G/B\) and Pontryagin product for \(\Omega K\). (English) Zbl 1248.14061 Trans. Am. Math. Soc. 364, No. 5, 2567-2599 (2012). Reviewer: Letterio Gatto (Trino) MSC: 14N35 14M15 22E65 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{C. Li}, Trans. Am. Math. Soc. 364, No. 5, 2567--2599 (2012; Zbl 1248.14061) Full Text: DOI arXiv
Leung, Naichung Conan A report on the Yau-Zaslow formula. (English) Zbl 1273.14115 Ji, Lizhen (ed.), Geometry and analysis, No. 2. Collected papers of the conference “Geometric analysis: Present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27–September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-225-1/pbk). Advanced Lectures in Mathematics (ALM) 18, 69-79 (2011). Reviewer: Loek Spitz (Amsterdam) MSC: 14N35 14N10 14J28 14J33 53D45 PDFBibTeX XMLCite \textit{N. C. Leung}, Adv. Lect. Math. (ALM) 18, 69--79 (2011; Zbl 1273.14115)
Leung, Naichung Conan Geometric structures on Riemannian manifolds. (English) Zbl 1260.53004 Leung, Naichung Conan (ed.) et al., Geometry of special holonomy and related topics. Somerville, MA: International Press (ISBN 978-1-57146-211-4/hbk). Surveys in Differential Geometry 16, 161-263 (2011). MSC: 53-02 53C20 32Q25 53C55 81T30 53C35 53C26 14N35 PDFBibTeX XMLCite \textit{N. C. Leung}, Surv. Differ. Geom. 16, 161--263 (2011; Zbl 1260.53004)
Lau, Siu-Cheong; Leung, Naichung Conan; Wu, Baosen A relation for Gromov-Witten invariants of local Calabi-Yau threefolds. (English) Zbl 1239.14049 Math. Res. Lett. 18, No. 5, 943-956 (2011). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{S.-C. Lau} et al., Math. Res. Lett. 18, No. 5, 943--956 (2011; Zbl 1239.14049) Full Text: DOI arXiv
Leung, Naichung Conan (ed.); Yau, Shing-Tung (ed.) Geometry of special holonomy and related topics. (English) Zbl 1230.53007 Surveys in Differential Geometry 16. Somerville, MA: International Press (ISBN 978-1-57146-211-4/hbk). iv, 347 p. (2011). MSC: 53-06 00B15 53C15 53C25 53C29 53D18 14M25 14N35 70S15 81T13 PDFBibTeX XMLCite \textit{N. C. Leung} (ed.) and \textit{S.-T. Yau} (ed.), Geometry of special holonomy and related topics. Somerville, MA: International Press (2011; Zbl 1230.53007) Full Text: Link
Leung, Naichung Conan; Li, Changzheng Functorial relationships between \(QH^*(G/B)\) and \(QH^*(G/P)\). (English) Zbl 1316.14107 J. Differ. Geom. 86, No. 2, 303-354 (2010). MSC: 14N35 14M15 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{C. Li}, J. Differ. Geom. 86, No. 2, 303--354 (2010; Zbl 1316.14107) Full Text: DOI arXiv Euclid
Chan, Kwokwai; Leung, Naichung Conan On SYZ mirror transformations. (English) Zbl 1213.14073 Saito, Masa-Hiko (ed.) et al., New developments in algebraic geometry, integrable systems and mirror symmetry. Papers based on the conference “New developments in algebraic geometry, integrable systems and mirror symmetry”, Kyoto, Japan, January 7–11, 2008, and the workshop “Quantum cohomology and mirror symmetry”, Kobe, Japan, January 4–5, 2008. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-62-4/hbk). Advanced Studies in Pure Mathematics 59, 1-30 (2010). MSC: 14J33 14J32 14N35 PDFBibTeX XMLCite \textit{K. Chan} and \textit{N. C. Leung}, Adv. Stud. Pure Math. 59, 1--30 (2010; Zbl 1213.14073) Full Text: arXiv
Chan, Kwokwai; Leung, Naichung Conan Mirror symmetry for toric Fano manifolds via SYZ transformations. (English) Zbl 1201.14029 Adv. Math. 223, No. 3, 797-839 (2010). Reviewer: Bernd Kreußler (Limerick) MSC: 14J33 53D37 53D45 14N35 14M25 14J45 PDFBibTeX XMLCite \textit{K. Chan} and \textit{N. C. Leung}, Adv. Math. 223, No. 3, 797--839 (2010; Zbl 1201.14029) Full Text: DOI arXiv
Lee, Junho; Leung, Naichung Conan Counting elliptic curves in \(K3\) surfaces. (English) Zbl 1119.14045 J. Algebr. Geom. 15, No. 4, 591-601 (2006). Reviewer: Dragos Oprea (Palo Alto) MSC: 14N35 14J28 PDFBibTeX XMLCite \textit{J. Lee} and \textit{N. C. Leung}, J. Algebr. Geom. 15, No. 4, 591--601 (2006; Zbl 1119.14045) Full Text: DOI arXiv
Lee, Junho; Leung, Naichung Conan Yau-Zaslow formula on K3 surfaces for non-primitive classes. (English) Zbl 1088.53059 Geom. Topol. 9, 1977-2012 (2005). Reviewer: Mircea Puta (Timişoara) MSC: 53D45 14N35 53D05 14N10 PDFBibTeX XMLCite \textit{J. Lee} and \textit{N. C. Leung}, Geom. Topol. 9, 1977--2012 (2005; Zbl 1088.53059) Full Text: DOI arXiv EuDML
Bryan, Jim; Katz, Sheldon; Leung, Naichung Conan Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. (English) Zbl 1045.14019 J. Algebr. Geom. 10, No. 3, 549-568 (2001). MSC: 14J32 14E20 14N35 14H50 14J30 14H30 PDFBibTeX XMLCite \textit{J. Bryan} et al., J. Algebr. Geom. 10, No. 3, 549--568 (2001; Zbl 1045.14019) Full Text: arXiv
Bryan, Jim; Leung, Naichung Conan The enumerative geometry of \(K3\) surfaces and modular forms. (English) Zbl 0963.14031 J. Am. Math. Soc. 13, No. 2, 371-410 (2000). Reviewer: Daniel Hernandez Ruiperez (Salamanca) MSC: 14N35 14J28 53D45 14N10 PDFBibTeX XMLCite \textit{J. Bryan} and \textit{N. C. Leung}, J. Am. Math. Soc. 13, No. 2, 371--410 (2000; Zbl 0963.14031) Full Text: DOI arXiv
Bryan, Jim; Leung, Naichung Conan Counting curves on irrational surfaces. (English) Zbl 0999.14019 Yau, S.-T. (ed.), Surveys in differential geometry. Vol. V. Differential geometry inspired by string theory. Boston, MA: International Press. Surv. Differ. Geom., Suppl. J. Differ. Geom. 5, 313-339 (1999). MSC: 14N10 14J25 14N35 PDFBibTeX XMLCite \textit{J. Bryan} and \textit{N. C. Leung}, Surv. Differ. Geom., Suppl. J. Differ. Geom. 5, 313--339 (1999; Zbl 0999.14019)
Bryan, Jim; Leung, Naichung Conan Generating functions for the number of curves on abelian surfaces. (English) Zbl 0976.14033 Duke Math. J. 99, No. 2, 311-328 (1999). Reviewer: Isidro Nieto Baños (Morelia, Mich./Mexico) MSC: 14N35 14H50 14K99 14J25 PDFBibTeX XMLCite \textit{J. Bryan} and \textit{N. C. Leung}, Duke Math. J. 99, No. 2, 311--328 (1999; Zbl 0976.14033) Full Text: DOI arXiv