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Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Biswas, I. | |
| dc.contributor.author | Gómez, T.L. | |
| dc.date.accessioned | 2019-02-11T16:35:33Z | |
| dc.date.available | 2019-02-11T16:35:33Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group / I. Biswas, T.L. Gómez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 53C07; 14F05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.013 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146826 | |
| dc.description.abstract | We investigate principal G-bundles on a compact Kähler manifold, where G is a complex algebraic group such that the connected component of it containing the identity element is reductive. Defining (semi)stability of such bundles, it is shown that a principal G-bundle EG admits an Einstein-Hermitian connection if and only if EG is polystable. We give an equivalent formulation of the (semi)stability condition. A question is to compare this definition with that of [Gómez T.L., Langer A., Schmitt A.H.W., Sols I., Ramanujan Math. Soc. Lect. Notes Ser., Vol. 10, Ramanujan Math. Soc., Mysore, 2010, 281-371]. | uk_UA |
| dc.description.sponsorship | We would like to thank B. Conrad and A. Nair for discussions. The first-named author acknowledges the support of the J.C. Bose Fellowship. The second-named author thanks the Tata Institute of Fundamental Research for the hospitality during a visit where part of this work was done. This work was partly funded by the grant MTM2010-17389 and ICMAT Severo Ochoa project SEV-2011-0087 of the Spanish Ministerio de Econom´ıa y Competitividad. | 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 | Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
