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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 055, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.055 (Mi sigma1592) 		 
A Note on Disk Counting in Toric Orbifolds

Kwokwai Chana, Cheol-Hyun Chob, Siu-Cheong Lauc, Naichung Conan Leungad, Hsian-Hua Tsenge

a Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
b Department of Mathematical Sciences, Research Institute in Mathematics, Seoul National University, Gwanak-Gu, Seoul, South Korea
c Department of Mathematics and Statistics, Boston University, Boston, MA, USA
d The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, Hong Kong
e Department of Mathematics, Ohio State University, 100 Math Tower, 231 West 18th Ave., Columbus, OH 43210, USA
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DOI: https://doi.org/10.3842/SIGMA.2020.055
Abstract: We compute orbi-disk invariants of compact Gorenstein semi-Fano toric orbifolds by extending the method used for toric Calabi–Yau orbifolds. As a consequence the orbi-disc potential is analytic over complex numbers.
Keywords: orbifold, toric, open Gromov–Witten invariants, mirror symmetry, SYZ.
Funding agency Grant number
Research Grants Council, University Grants Committee CUHK14314516
CUHK14302215
CUHK14303516
NRF grant funded by the Korea government (MSIT) 2017R1A22B4009488
Simons Foundation 580648
National Science Foundation DMS-1506551
K. Chan was supported by a Hong Kong RGC grant CUHK14314516 and direct grants from CUHK. C.-H. Cho was supported by the NRF grant funded by the Korea government(MSIT) (No. 2017R1A22B4009488). S.-C. Lau was partially supported by the Simons collaboration grant #580648. N.C. Leung was supported by Hong Kong RGC grants CUHK14302215 & CUHK14303516 and direct grants from CUHK. H.-H. Tseng was supported in part by NSF grant DMS-1506551.
Received: January 24, 2020; in final form June 11, 2020; Published online June 17, 2020
Bibliographic databases:
Document Type: Article
MSC: 53D37, 14J33
Language: English
Citation: Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau, Naichung Conan Leung, Hsian-Hua Tseng, “A Note on Disk Counting in Toric Orbifolds”, SIGMA, 16 (2020), 055, 15 pp.
Citation in format AMSBIB
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\paper A Note on Disk Counting in Toric Orbifolds
\jour SIGMA
\yr 2020
\vol 16
\papernumber 055
\totalpages 15
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