000			03187nam a22005055i 4500
001			978-0-8176-4663-9
003			DE-He213
005			20251006084438.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780817646639
020			_a99780817646639
024	7		_a10.1007/b11801 _2doi
100	1		_aBartocci, Claudio. _eauthor.
245	1	0	_aFourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics _h[electronic resource] / _cby Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez.
264		1	_aBoston : _bBirkhäuser Boston, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v276
505	0		_aIntegral functors -- Fourier-Mukai functors -- Fourier-Mukai on Abelian varieties -- Fourier-Mukai on K3 surfaces -- Nahm transforms -- Relative Fourier-Mukai functors -- Fourier-Mukai partners and birational geometry -- Derived and triangulated categories -- Lattices -- Miscellaneous results -- Stability conditions for derived categories.
520			_aIntegral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics examines the algebro-geometric approach (Fourier-Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: * Basic constructions and definitions are presented in preliminary background chapters * Presentation explores applications and suggests several open questions * Extensive bibliography and index This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.
650		0	_aMATHEMATICS.
650		0	_aGEOMETRY, ALGEBRAIC.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aALGEBRAIC GEOMETRY.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aMATHEMATICAL AND COMPUTATIONAL PHYSICS.
700	1		_aBruzzo, Ugo. _eauthor.
700	1		_aHernández Ruipérez, Daniel. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817632465
830		0	_aProgress in Mathematics ; _v276
856	4	0	_uhttp://dx.doi.org/10.1007/b11801 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59750 _d59750