Examples of Matrix Factorizations from SYZ
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Examples of Matrix Factorizations from SYZ
|
|
| Creator |
Cho, Cheol-Hyun
Hong, H. Lee, S. |
|
| Description |
We find matrix factorization corresponding to an anti-diagonal in CP¹×CP¹, and circle fibers in weighted projective lines using the idea of Chan and Leung of Strominger-Yau-Zaslow transformations. For the tear drop orbifolds, we apply this idea to find matrix factorizations for two types of potential, the usual Hori-Vafa potential or the bulk deformed (orbi)-potential. We also show that the direct sum of anti-diagonal with its shift, is equivalent to the direct sum of central torus fibers with holonomy (1,−1) and (−1,1) in the Fukaya category of CP¹×CP¹, which was predicted by Kapustin and Li from B-model calculations.
|
|
| Date |
2019-02-18T11:40:42Z
2019-02-18T11:40:42Z 2012 |
|
| Type |
Article
|
|
| Identifier |
Examples of Matrix Factorizations from SYZ / Cheol-Hyun Cho, H. Hong, S. Lee // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 21 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53D37; 53D40; 57R18 DOI: http://dx.doi.org/10.3842/SIGMA.2012.053 http://dspace.nbuv.gov.ua/handle/123456789/148404 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|