LEADER 04759nam 22007092 450 001 9910455876403321 005 20151005020624.0 010 $a1-107-12564-2 010 $a1-280-43401-5 010 $a0-511-04541-7 010 $a9786610434015 010 $a0-511-14774-0 010 $a0-511-17741-0 010 $a0-511-30500-1 010 $a0-511-54310-7 035 $a(CKB)111087027160446 035 $a(EBL)202216 035 $a(OCoLC)559254871 035 $a(SSID)ssj0000158532 035 $a(PQKBManifestationID)11164052 035 $a(PQKBTitleCode)TC0000158532 035 $a(PQKBWorkID)10149500 035 $a(PQKB)10509288 035 $a(UkCbUP)CR9780511543104 035 $a(MiAaPQ)EBC202216 035 $a(PPN)19969270X 035 $a(Au-PeEL)EBL202216 035 $a(CaPaEBR)ebr10021400 035 $a(CaONFJC)MIL43401 035 $a(EXLCZ)99111087027160446 100 $a20090505d2002|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFrobenius manifolds and moduli spaces for singularities /$fClaus Hertling$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2002. 215 $a1 online resource (ix, 270 pages) $cdigital, PDF file(s) 225 1 $aCambridge tracts in mathematics ;$v151 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-81296-8 311 $a0-511-02052-X 320 $aIncludes bibliographical references (p. 260-267) and index. 327 $tMultiplication on the tangent bundle --$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. 330 $aThe relations between Frobenius manifolds and singularity theory are treated here in a rigorous yet accessible manner. For those working in singularity theory or other areas of complex geometry, this book will open the door to the study of Frobenius manifolds. This class of manifolds are now known to be relevant for the study of singularity theory, quantum cohomology, mirror symmetry, symplectic geometry and integrable systems. The first part of the book explains the theory of manifolds with a multiplication on the tangent bundle. The second presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will find here a careful and sound study of the fundamental structures and results in this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students who wish to work in this area. 410 0$aCambridge tracts in mathematics ;$v151. 517 3 $aFrobenius Manifolds & Moduli Spaces for Singularities 606 $aSingularities (Mathematics) 606 $aFrobenius algebras 606 $aModuli theory 615 0$aSingularities (Mathematics) 615 0$aFrobenius algebras. 615 0$aModuli theory. 676 $a516.3/5 700 $aHertling$b Claus$066890 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910455876403321 996 $aFrobenius manifolds and moduli spaces for singularities$9377330 997 $aUNINA