A Note on Disk Counting in Toric Orbifolds

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.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
Hauptverfasser: Chan, Kwokwai, Cho, Cheol-Hyun, Lau, Siu-Cheong, Leung, Naichung Conan, Tseng, Hsian-Hua
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/210695
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:A Note on Disk Counting in Toric Orbifolds. Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau, Naichung Conan Leung and Hsian-Hua Tseng. SIGMA 16 (2020), 055, 15 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-210695
record_format dspace
spelling Chan, Kwokwai
Cho, Cheol-Hyun
Lau, Siu-Cheong
Leung, Naichung Conan
Tseng, Hsian-Hua
2025-12-15T15:22:38Z
2020
A Note on Disk Counting in Toric Orbifolds. Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau, Naichung Conan Leung and Hsian-Hua Tseng. SIGMA 16 (2020), 055, 15 pages
1815-0659
2020 Mathematics Subject Classification: 53D37; 14J33
arXiv:1902.05904
https://nasplib.isofts.kiev.ua/handle/123456789/210695
https://doi.org/10.3842/SIGMA.2020.055
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.
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 Korean 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.
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
A Note on Disk Counting in Toric Orbifolds
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title A Note on Disk Counting in Toric Orbifolds
spellingShingle A Note on Disk Counting in Toric Orbifolds
Chan, Kwokwai
Cho, Cheol-Hyun
Lau, Siu-Cheong
Leung, Naichung Conan
Tseng, Hsian-Hua
title_short A Note on Disk Counting in Toric Orbifolds
title_full A Note on Disk Counting in Toric Orbifolds
title_fullStr A Note on Disk Counting in Toric Orbifolds
title_full_unstemmed A Note on Disk Counting in Toric Orbifolds
title_sort note on disk counting in toric orbifolds
author Chan, Kwokwai
Cho, Cheol-Hyun
Lau, Siu-Cheong
Leung, Naichung Conan
Tseng, Hsian-Hua
author_facet Chan, Kwokwai
Cho, Cheol-Hyun
Lau, Siu-Cheong
Leung, Naichung Conan
Tseng, Hsian-Hua
publishDate 2020
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description 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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/210695
citation_txt A Note on Disk Counting in Toric Orbifolds. Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau, Naichung Conan Leung and Hsian-Hua Tseng. SIGMA 16 (2020), 055, 15 pages
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