000			03276nam a22004693i 4500
001			EBC3114208
003			MiAaPQ
005			20240729124603.0
006			m o d |
007			cr cnu||||||||
008			240724s2006 xx o ||||0 eng d
020			_a9781470404673 _q(electronic bk.)
020			_z9780821839133
035			_a(MiAaPQ)EBC3114208
035			_a(Au-PeEL)EBL3114208
035			_a(CaPaEBR)ebr11039827
035			_a(OCoLC)922981564
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA601 -- .L83 2006eb
082	0		_a510 s;516.3/62
100	1		_aLübke, M.
245	1	0	_aUniversal Kobayashi-Hitchin Correspondence on Hermitian Manifolds.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2006.
264		4	_c©2006.
300			_a1 online resource (112 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.183
505	0		_aIntro -- Contents -- Chapter 1. Introduction -- Chapter 2. The finite dimensional Kobayashi-Hitchin correspondence -- 2.1. Analytic Stability, Symplectic stability -- 2.2. The Continuity Method in the finite dimensional case -- 2.3. Maximal weight functions for linear and projective actions -- Chapter 3. A "universal" complex geometric classification problem -- 3.1. Oriented holomorphic pairs -- 3.2. The stability condition for universal oriented holomorphic pairs -- Chapter 4. Hermitian-Einstein pairs -- 4.1. The Hermitian-Einstein equation -- 4.2. Pairs which allow Hermitian-Einstein reductions are polystable -- Chapter 5. Polystable pairs allow Hermitian-Einstein reductions -- 5.1. The perturbed equation -- 5.2. A priori estimates for the solution s[sub(ε)] -- 5.3. Solving the equation (e[sub(ε)]) for ε ∈ ( 0,1] -- 5.4. Destabilizing the pair in the unbounded case -- Chapter 6. Examples and Applications -- 6.1. Oriented holomorphic principal bundles and oriented connections -- 6.2. Moduli spaces of oriented pairs -- 6.3. Non-abelian monopoles on Gauduchon surfaces -- Chapter 7. Appendix -- 7.1. Chern connections -- 7.2. Orbits of the adjoint action, sections in the adjoint bundle -- 7.3. Local maximal torus reductions of a K-bundle -- 7.4. Connection and maximal torus reductions -- 7.5. Analytic results -- 7.6. Weakly holomorphic parabolic reductions -- Bibliography.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aKobayashi-Hitchin correspondence (Algebraic geometry).
650		0	_aHermitian structures.
655		4	_aElectronic books.
700	1		_aTeleman, A.
776	0	8	_iPrint version: _aLübke, M. _tUniversal Kobayashi-Hitchin Correspondence on Hermitian Manifolds _dProvidence : American Mathematical Society,c2006 _z9780821839133
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114208 _zClick to View
999			_c69739 _d69739