Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau, Naichung Conan Leung, Hsian-Hua Tseng, “A Note on Disk Counting in Toric Orbifolds”, SIGMA, 2020, Volume 16,055, 15 pp.

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SIGMA, 2020 Volume 16, 055, 15 pp. (Mi sigma1592)

A Note on Disk Counting in Toric Orbifolds

Kwokwai Chan^a, Cheol-Hyun Cho^b, Siu-Cheong Lau^c, Naichung Conan Leung^ad, Hsian-Hua Tseng^e

^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

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.

MSC: 53D37, 14J33

Received: January 24, 2020; in final form June 11, 2020; Published online June 17, 2020

Language: English

DOI: 10.3842/SIGMA.2020.055

Bibliographic databases:

ArXiv: 1902.05904

© Steklov Math. Inst. of RAS, 2024