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008 | 150903s2008 xxk| o |||| 0|eng d | ||
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_a9781848000544 _99781848000544 |
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024 | 7 |
_a10.1007/9781848000544 _2doi |
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035 | _avtls000344140 | ||
039 | 9 |
_a201509030407 _bVLOAD _c201405050303 _dVLOAD _y201402061249 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA564-609 | |
100 | 1 |
_aSabbah, Claude. _eautor _9322720 |
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245 | 1 | 0 |
_aIsomonodromic Deformations and Frobenius Manifolds : _bAn Introduction / _cby Claude Sabbah. |
264 | 1 |
_aLondon : _bSpringer London, _c2008. |
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300 | _brecurso en línea. | ||
336 |
_atexto _btxt _2rdacontent |
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337 |
_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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490 | 0 | _aUniversitext | |
500 | _aSpringer eBooks | ||
505 | 0 | _aThe language of fibre bundles -- Holomorphic vector bundles on the Riemann sphere -- The Riemann-Hilbert correspondence on a Riemann surface -- Lattices -- The Riemann-Hilbert problem and Birkhoff’s problem -- Fourier-Laplace duality -- Integrable deformations of bundles with connection on the Riemann sphere -- Saito structures and Frobenius structures on a complex analytic manifold. | |
520 | _aThe notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and physics. Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations and ends with applications to recent research questions related to mirror symmetry. The fundamental tool used within the book is that of a vector bundle with connection. There is a detailed analysis of the singularities of such objects and of their deformations, and coverage of the techniques used in the resolution of the Riemann-Hilbert problem and Birkhoff’s problem. An approach to Frobenius manifolds using isomonodromic deformations of linear differential equations is also developed. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9781848000537 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84800-054-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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