000			03863nam a22003858i 4500
001			CR9780511543104
003			UkCbUP
005			20200124160237.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090505s2002||||enk o ||1 0|eng|d
020			_a9780511543104 (ebook)
020			_z9780521812962 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA614.58 _b.H47 2002
082	0	0	_a516.3/5 _221
100	1		_aHertling, Claus, _eauthor.
245	1	0	_aFrobenius manifolds and moduli spaces for singularities / _cClaus Hertling.
246	3		_aFrobenius Manifolds & Moduli Spaces for Singularities
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (ix, 270 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v151
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tMultiplication on the tangent bundle -- _tFirst examples -- _tFast track through the results -- _tDefinition and first properties of F-manifolds -- _tFinite-dimensional algebras -- _tVector bundles with multiplication -- _tDefinition of F-manifolds -- _tDecomposition of F-manifolds and examples -- _tF-manifolds and potentiality -- _tMassive F-manifolds and Lagrange maps -- _tLagrange property of massive F-manifolds -- _tExistence of Euler fields -- _tLyashko-Looijenga maps and graphs of Lagrange maps -- _tMiniversal Lagrange maps and F-manifolds -- _tLyashko-Looijenga map of an F-manifold -- _tDiscriminants and modality of F-manifolds -- _tDiscriminant of an F-manifold -- _t2-dimensional F-manifolds -- _tLogarithmic vector fields -- _tIsomorphisms and modality of germs of F-manifolds -- _tAnalytic spectrum embedded differently -- _tSingularities and Coxeter groups -- _tHypersurface singularities -- _tBoundary singularities -- _tCoxeter groups and F-manifolds -- _tCoxeter groups and Frobenius manifolds -- _t3-dimensional and other F-manifolds -- _tFrobenius manifolds, Gauss-Manin connections, and moduli spaces for hypersurface singularities -- _tConstruction of Frobenius manifolds for singularities -- _tModuli spaces and other applications -- _tConnections over the punctured plane -- _tFlat vector bundles on the punctured plane -- _tLattices -- _tSaturated lattices -- _tRiemann-Hilbert-Birkhoff problem -- _tSpectral numbers globally -- _tMeromorphic connections -- _tLogarithmic vector fields and differential forms -- _tLogarithmic pole along a smooth divisor -- _tLogarithmic pole along any divisor.
520			_aThe relations between Frobenius manifolds and singularity theory are treated here in a rigorous yet accessible manner. For those working in singularity theory or other areas of complex geometry, this book will open the door to the study of Frobenius manifolds. This class of manifolds are now known to be relevant for the study of singularity theory, quantum cohomology, mirror symmetry, symplectic geometry and integrable systems. The first part of the book explains the theory of manifolds with a multiplication on the tangent bundle. The second presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will find here a careful and sound study of the fundamental structures and results in this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students who wish to work in this area.
650		0	_aSingularities (Mathematics)
650		0	_aFrobenius algebras.
650		0	_aModuli theory.
776	0	8	_iPrint version: _z9780521812962
830		0	_aCambridge tracts in mathematics ; _v151.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511543104
999			_c518153 _d518151