Chan, Kwokwai; Leung, Naichung Conan; Li, Qin Quantizable functions on Kähler manifolds and non-formal quantization. (English) Zbl 07759051 Adv. Math. 433, Article ID 109293, 34 p. (2023). Reviewer: Gabriele Rembado (Montpellier) MSC: 53D55 53D50 32S40 81Q30 PDFBibTeX XMLCite \textit{K. Chan} et al., Adv. Math. 433, Article ID 109293, 34 p. (2023; Zbl 07759051) Full Text: DOI arXiv
Leung, NaiChung Conan; Yau, YuTung Deformation quantization via Toeplitz operators on geometric quantization in real polarizations. (English) Zbl 1519.53072 Commun. Math. Phys. 397, No. 2, 875-900 (2023). Reviewer: Zhuo Chen (Beijing) MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{Y. Yau}, Commun. Math. Phys. 397, No. 2, 875--900 (2023; Zbl 1519.53072) Full Text: DOI arXiv
Chow, Chi Hong; Leung, Naichung Conan Twisted cyclic group actions on Fukaya categories and mirror symmetry. (English) Zbl 1511.53079 J. Symplectic Geom. 20, No. 4, 813-835 (2022). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D37 53D05 PDFBibTeX XMLCite \textit{C. H. Chow} and \textit{N. C. Leung}, J. Symplectic Geom. 20, No. 4, 813--835 (2022; Zbl 1511.53079) Full Text: DOI arXiv
Leung, Nai-Chung Conan; Yau, Yu-Tung Berezin-Toeplitz quantization in real polarizations with toric singularities. (English) Zbl 1504.53099 Commun. Number Theory Phys. 16, No. 4, 851-878 (2022). MSC: 53D55 47B35 PDFBibTeX XMLCite \textit{N.-C. C. Leung} and \textit{Y.-T. Yau}, Commun. Number Theory Phys. 16, No. 4, 851--878 (2022; Zbl 1504.53099) Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Li, Qin A geometric construction of representations of the Berezin-Toeplitz quantization. (English) Zbl 1514.81173 Adv. Theor. Math. Phys. 26, No. 1, 1-36 (2022). MSC: 81S10 53D55 32Q15 57R22 PDFBibTeX XMLCite \textit{K. Chan} et al., Adv. Theor. Math. Phys. 26, No. 1, 1--36 (2022; Zbl 1514.81173) Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Li, Qin Kapranov’s \(L_\infty\) structures, Fedosov’s star products, and one-loop exact BV quantizations on Kähler manifolds. (English) Zbl 1498.14006 Commun. Number Theory Phys. 16, No. 2, 299-351 (2022). Reviewer: Kai Xu (Cambridge) MSC: 14A30 53D55 58J20 81Q30 81R10 81T15 PDFBibTeX XMLCite \textit{K. Chan} et al., Commun. Number Theory Phys. 16, No. 2, 299--351 (2022; Zbl 1498.14006) Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Ma, Ziming Nikolas Scattering diagrams from asymptotic analysis on Maurer-Cartan equations. (English) Zbl 1524.32025 J. Eur. Math. Soc. (JEMS) 24, No. 3, 773-849 (2022). MSC: 32Q25 14J33 32G07 53D37 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Eur. Math. Soc. (JEMS) 24, No. 3, 773--849 (2022; Zbl 1524.32025) Full Text: DOI arXiv
Chan, Kwokwai; Conan Leung, Naichung; Li, Qin Bargmann-Fock sheaves on Kähler manifolds. (English) Zbl 1481.53108 Commun. Math. Phys. 388, No. 3, 1297-1322 (2021). MSC: 53D55 53D05 32Q15 PDFBibTeX XMLCite \textit{K. Chan} et al., Commun. Math. Phys. 388, No. 3, 1297--1322 (2021; Zbl 1481.53108) Full Text: DOI arXiv
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
Leung, Naichung Conan; Yu, Shilin Equivariant deformation quantization and coadjoint orbit method. (English) Zbl 1510.22013 Duke Math. J. 170, No. 8, 1781-1850 (2021). Reviewer: Benjamin Cahen (Metz) MSC: 22E46 17B08 53D55 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{S. Yu}, Duke Math. J. 170, No. 8, 1781--1850 (2021; Zbl 1510.22013) Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Li, Qin Quantization of Kähler manifolds. (English) Zbl 1465.53091 J. Geom. Phys. 163, Article ID 104143, 13 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53D55 58J20 81T15 81Q30 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Geom. Phys. 163, Article ID 104143, 13 p. (2021; Zbl 1465.53091) Full Text: DOI arXiv
Bae, Hanwool; Leung, Naichung Conan WITHDRAWN: Peterson conjecture via Lagrangian correspondences and wonderful compactifications. arXiv:2102.03103 Preprint, arXiv:2102.03103 [math.SG] (2021); retraction notice ibid. MSC: 53Dxx 57R58 53D45 BibTeX Cite \textit{H. Bae} and \textit{N. C. Leung}, ``WITHDRAWN: Peterson conjecture via Lagrangian correspondences and wonderful compactifications'', Preprint, arXiv:2102.03103 [math.SG] (2021); retraction notice ibid. Full Text: arXiv OA License
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
Chan, Kwokwai; Cho, Cheol-Hyun; Lau, Siu-Cheong; Leung, Naichung Conan; Tseng, Hsian-Hua A note on disk counting in toric orbifolds. (English) Zbl 1441.53073 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 055, 15 p. (2020). MSC: 53D37 14J33 PDFBibTeX XMLCite \textit{K. Chan} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 055, 15 p. (2020; Zbl 1441.53073) Full Text: DOI arXiv
Leung, Naichung Conan; Li, Yin Twin Lagrangian fibrations in mirror symmetry. (English) Zbl 1429.53099 J. Symplectic Geom. 17, No. 5, 1331-1387 (2019). MSC: 53D37 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{Y. Li}, J. Symplectic Geom. 17, No. 5, 1331--1387 (2019; Zbl 1429.53099) Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Li, Changzheng Pseudotoric structures and special Lagrangian torus fibrations on certain flag varieties. (English) Zbl 1470.14103 J. Geom. Phys. 146, Article ID 103489, 16 p. (2019). Reviewer: Mohammad Farajzadeh Tehrani (Iowa City) MSC: 14M25 53D37 14J33 PDFBibTeX XMLCite \textit{K. Chan} et al., J. Geom. Phys. 146, Article ID 103489, 16 p. (2019; Zbl 1470.14103) Full Text: DOI arXiv
Chan, Kwokwai; Lau, Siu-Cheong; Leung, Naichung Conan; Tseng, Hsian-Hua Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds. (English) Zbl 1371.53090 Duke Math. J. 166, No. 8, 1405-1462 (2017). Reviewer: Akira Asada (Takarazuka) MSC: 53D45 53D37 53D40 53D12 53D20 14J33 14M25 PDFBibTeX XMLCite \textit{K. Chan} et al., Duke Math. J. 166, No. 8, 1405--1462 (2017; Zbl 1371.53090) 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; Wang, Xiaowei; Zhu, Ke Instantons in \(G_2\) manifolds from \(J\)-holomorphic curves in coassociative submanifolds. (English) Zbl 1314.53093 Akbulut, Selman (ed.) et al., Proceedings of the 19th Gökova geometry-topology conference, Gökova, Turkey, May 28 – June 2, 2012. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (ISBN 978-1-57146-270-1/pbk). 89-110 (2013). MSC: 53C38 53D37 53C25 14D21 PDFBibTeX XMLCite \textit{N. C. Leung} et al., in: Proceedings of the 19th Gökova geometry-topology conference, Gökova, Turkey, May 28 -- June 2, 2012. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences. 89--110 (2013; Zbl 1314.53093) Full Text: arXiv
Chan, Kwokwai; Leung, Naichung Conan Matrix factorizations from SYZ transformations. (English) Zbl 1317.53116 Janeczko, Stanislaw (ed.) et al., Advances in geometric analysis. Collected papers of the workshop on geometry in honour of Shing-Tung Yau’s 60th birthday, Warsaw, Poland, April 6–8, 2009. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-248-0/pbk). Advanced Lectures in Mathematics (ALM) 21, 203-224 (2012). MSC: 53D37 53D12 14J33 14F05 PDFBibTeX XMLCite \textit{K. Chan} and \textit{N. C. Leung}, Adv. Lect. Math. (ALM) 21, 203--224 (2012; Zbl 1317.53116) Full Text: arXiv
Leung, Naichung Conan SYZ transformations for toric varieties. (English) Zbl 1263.53081 Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7586-5/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.1, 209-220 (2012). Reviewer: Kwok-Wai Chan (Hong Kong) MSC: 53D37 14J33 14M25 PDFBibTeX XMLCite \textit{N. C. Leung}, AMS/IP Stud. Adv. Math. 51, 209--220 (2012; Zbl 1263.53081)
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
Lau, Siu-Cheong; Leung, Naichung Conan; Wu, Baosen Mirror maps equal SYZ maps for toric Calabi-Yau surfaces. (English) Zbl 1239.14033 Bull. Lond. Math. Soc. 44, No. 2, 255-270 (2012). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14J33 53D37 PDFBibTeX XMLCite \textit{S.-C. Lau} et al., Bull. Lond. Math. Soc. 44, No. 2, 255--270 (2012; Zbl 1239.14033) 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 The SYZ proposal. (English) Zbl 1259.14043 Ji, Lizhen (ed.), Geometry and analysis, No. 1. 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 978-1-57146-224-4/pbk). Advanced Lectures in Mathematics (ALM) 17, 133-140 (2011). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14J33 53D45 81T30 14-03 81-03 01A60 01A61 01A65 PDFBibTeX XMLCite \textit{N. C. Leung}, Adv. Lect. Math. (ALM) 17, 133--140 (2011; Zbl 1259.14043)
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
Lee, Jae-Hyouk; Leung, Naichung Conan Grassmannians of symplectic subspaces. (English) Zbl 1246.37078 Manuscr. Math. 136, No. 3-4, 383-410 (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J05 53D05 14M15 53D12 PDFBibTeX XMLCite \textit{J.-H. Lee} and \textit{N. C. Leung}, Manuscr. Math. 136, No. 3--4, 383--410 (2011; Zbl 1246.37078) Full Text: DOI
Leung, Naichung Conan Geometric structures on Riemannian manifolds. (English) Zbl 1214.53005 Ji, Lizhen (ed.) et al., Handbook of geometric analysis. No. 3. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-205-3/hbk). Advanced Lectures in Mathematics (ALM) 14, 129-229 (2010). Reviewer: Efstathios Vassiliou (Athens) MSC: 53-02 53C15 53C10 53C25 53C26 53C29 53C35 53C38 53C55 53D05 14J32 32Q25 PDFBibTeX XMLCite \textit{N. C. Leung}, Adv. Lect. Math. (ALM) 14, 129--229 (2010; Zbl 1214.53005)
Leung, Naichung Conan; Symington, Margaret Almost toric symplectic four-manifolds. (English) Zbl 1197.53103 J. Symplectic Geom. 8, No. 2, 143-187 (2010). MSC: 53D05 14M25 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{M. Symington}, J. Symplectic Geom. 8, No. 2, 143--187 (2010; Zbl 1197.53103) Full Text: DOI arXiv Euclid
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
Karigiannis, Spiro; Leung, Naichung Conan Hodge theory for \(G_{2}\)-manifolds: intermediate Jacobians and Abel-Jacobi maps. (English) Zbl 1221.53119 Proc. Lond. Math. Soc. (3) 99, No. 2, 297-325 (2009). MSC: 53D30 53C26 53C29 53C38 53C10 PDFBibTeX XMLCite \textit{S. Karigiannis} and \textit{N. C. Leung}, Proc. Lond. Math. Soc. (3) 99, No. 2, 297--325 (2009; Zbl 1221.53119) Full Text: DOI arXiv
Lee, Jae-Hyouk; Leung, Naichung Conan Higher dimensional knot spaces for manifolds with vector cross products. (English) Zbl 1189.53079 Adv. Math. 213, No. 1, 140-164 (2007). MSC: 53D30 32Q25 53C25 53D12 PDFBibTeX XMLCite \textit{J.-H. Lee} and \textit{N. C. Leung}, Adv. Math. 213, No. 1, 140--164 (2007; Zbl 1189.53079) Full Text: DOI
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
Leung, Naichung Conan Geometric aspects of mirror symmetry (with SYZ for rigid CY manifolds). (English) Zbl 1328.14067 Lin, Chang-Shou (ed.) et al., Second international congress of Chinese mathematicians. Proceedings of the congress (ICCM2001), Taipei, Taiwan, December 17–22, 2001. Somerville: International Press (ISBN 1-57146-155-8/hbk). New Studies in Advanced Mathematics 4, 305-342 (2004). MSC: 14J33 14J32 32Q25 53D37 PDFBibTeX XMLCite \textit{N. C. Leung}, New Stud. Adv. Math. 4, 305--342 (2004; Zbl 1328.14067) Full Text: arXiv
Leung, Naichung Conan Riemannian geometry over different normed division algebras. (English) Zbl 1070.53024 J. Differ. Geom. 61, No. 2, 289-333 (2002). MSC: 53C29 53C07 53C38 53D12 PDFBibTeX XMLCite \textit{N. C. Leung}, J. Differ. Geom. 61, No. 2, 289--333 (2002; Zbl 1070.53024) Full Text: DOI arXiv
Leung, Naichung Conan Lagrangian submanifolds in hyper-Kähler manifolds, Legendre transformation. (English) Zbl 1057.53034 J. Differ. Geom. 61, No. 1, 107-145 (2002). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C26 53D12 53D40 PDFBibTeX XMLCite \textit{N. C. Leung}, J. Differ. Geom. 61, No. 1, 107--145 (2002; Zbl 1057.53034) Full Text: DOI arXiv
Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. (English) Zbl 1033.53044 Adv. Theor. Math. Phys. 4, No. 6, 1319-1341 (2000). MSC: 53C38 32Q25 53C07 14J32 53D12 PDFBibTeX XMLCite \textit{N. C. Leung} et al., Adv. Theor. Math. Phys. 4, No. 6, 1319--1341 (2000; Zbl 1033.53044) Full Text: DOI 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