Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Degeratu, A. | |
| dc.contributor.author | Walpuski, T. | |
| dc.date.accessioned | 2019-02-14T18:31:47Z | |
| dc.date.available | 2019-02-14T18:31:47Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three / A. Degeratu, T. Walpuski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 29 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 53C07; 14F05; 58J20 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.017 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147430 | |
| dc.description.abstract | For G a finite subgroup of SL(3,C) acting freely on C³∖{0} a crepant resolution of the Calabi-Yau orbifold C³/G always exists and has the geometry of an ALE non-compact manifold. We show that the tautological bundles on these crepant resolutions admit rigid Hermitian-Yang-Mills connections. For this we use analytical information extracted from the derived category McKay correspondence of Bridgeland, King, and Reid [J. Amer. Math. Soc. 14 (2001), 535-554]. As a consequence we rederive multiplicative cohomological identities on the crepant resolution using the Atiyah-Patodi-Singer index theorem. These results are dimension three analogues of Kronheimer and Nakajima's results [Math. Ann. 288 (1990), 263-307] in dimension two. | uk_UA |
| dc.description.sponsorship | A.D. would like to thank Tom Mrowka, Tam´as Hausel, Rafe Mazzeo and Mark Stern for useful conversations about dif ferent aspects of this work. A.D. was supported by the DFG via SFB/Transregio 71 “Geometric Partial Dif ferential Equations”. Parts of this article are the outcome of work undertaken by T.W. while working on his PhD thesis at Imperial College London, supported by European Research Council Grant 247331. T.W. would like to thank his supervisor Simon Donaldson for his support. Both authors would like to thank the anonymous referee of an earlier version of this article for pointing out a way of deriving the multiplicative formula (1.3) from the work of Ito and Nakajima [18]. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
