000			03216nam a22004693i 4500
001			EBC3114486
003			MiAaPQ
005			20240729124609.0
006			m o d |
007			cr cnu||||||||
008			240724s1997 xx o ||||0 eng d
020			_a9781470401948 _q(electronic bk.)
020			_z9780821806210
035			_a(MiAaPQ)EBC3114486
035			_a(Au-PeEL)EBL3114486
035			_a(CaPaEBR)ebr11041264
035			_a(OCoLC)922964936
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA614.92 -- .N53 1997eb
082	0		_a510 s;514/.74
100	1		_aNicolaescu, Liviu I.
245	1	0	_aGeneralized Symplectic Geometries and the Index of Families of Elliptic Problems.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1997.
264		4	_c©1997.
300			_a1 online resource (98 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.128
505	0		_aIntro -- Contents -- 1 Algebraic preliminaries -- 1.1 Clifford algebras -- 1.2 Clifford modules -- 2 Topological preliminaries -- 2.1 Karoubi's K[Sup(p,q)]-theory -- 2.2 Some elementary examples -- 2.3 Classifying spaces -- 3 (p,q)-lagrangians and classifying spaces for K-theory -- 3.1 (p,q)-lagrangian subspaces -- 3.2 Graphs of linear operators and lagrangians -- 3.3 The components of FL[Sup(p,q)] -- 3.4 The homotopy type of FL[Sup(p,q)] -- 4 Symplectic reductions -- 4.1 Generalized symplectic geometries -- 4.2 Homotopic properties of the symplectic reduction process -- 4.3 The generalized Maslov index -- 4.4 Comparison with the traditional Maslov index -- 5 Clifford symmetric Fredholm operators -- 5.1 The space F[Sup(p,q)] -- 5.2 Hamiltonian (p,q)-modules -- 5.3 The graph map and generalized Floer operators -- 5.4 Examples -- 6 Families of boundary value problems for Dirac operators -- 6.1 (p,q)-Dirac operators and their Calderon projections -- 6.2 The index of families of boundary value problems -- 6.3 The cobordism in variance of the families index -- 6.4 Gluing formulæ -- A. Gap convergence of linear operators -- B. Gap continuity of families of BVP's for Dirac operators -- C. Pseudodifferential Grassmanians and BVP's for Dirac operators -- D. The proof of Proposition 6.1 -- References.
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	_aIndex theorems.
650		0	_aGeometry, Differential.
650		0	_aSymplectic manifolds.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aNicolaescu, Liviu I. _tGeneralized Symplectic Geometries and the Index of Families of Elliptic Problems _dProvidence : American Mathematical Society,c1997 _z9780821806210
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114486 _zClick to View
999			_c69981 _d69981