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.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724168860041216 |
|---|---|
| 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 |
| 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 |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-17T12:04:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210695 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:04:31Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Note on Disk Counting in Toric Orbifolds Article published earlier |
| spellingShingle | A Note on Disk Counting in Toric Orbifolds Chan, Kwokwai Cho, Cheol-Hyun Lau, Siu-Cheong Leung, Naichung Conan Tseng, Hsian-Hua |
| title | 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_short | A Note on Disk Counting in Toric Orbifolds |
| title_sort | note on disk counting in toric orbifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210695 |
| work_keys_str_mv | AT chankwokwai anoteondiskcountingintoricorbifolds AT chocheolhyun anoteondiskcountingintoricorbifolds AT lausiucheong anoteondiskcountingintoricorbifolds AT leungnaichungconan anoteondiskcountingintoricorbifolds AT tsenghsianhua anoteondiskcountingintoricorbifolds AT chankwokwai noteondiskcountingintoricorbifolds AT chocheolhyun noteondiskcountingintoricorbifolds AT lausiucheong noteondiskcountingintoricorbifolds AT leungnaichungconan noteondiskcountingintoricorbifolds AT tsenghsianhua noteondiskcountingintoricorbifolds |