Frobenius manifolds and moduli spaces for singularities / (Record no. 518153)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03863nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511543104 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160237.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090505s2002||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511543104 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521812962 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.58 |
| Item number | .H47 2002 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/5 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hertling, Claus, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Frobenius manifolds and moduli spaces for singularities / |
| Statement of responsibility, etc | Claus Hertling. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Frobenius Manifolds & Moduli Spaces for Singularities |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2002. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (ix, 270 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 151 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Multiplication on the tangent bundle -- |
| -- | First examples -- |
| -- | Fast track through the results -- |
| -- | Definition and first properties of F-manifolds -- |
| -- | Finite-dimensional algebras -- |
| -- | Vector bundles with multiplication -- |
| -- | Definition of F-manifolds -- |
| -- | Decomposition of F-manifolds and examples -- |
| -- | F-manifolds and potentiality -- |
| -- | Massive F-manifolds and Lagrange maps -- |
| -- | Lagrange property of massive F-manifolds -- |
| -- | Existence of Euler fields -- |
| -- | Lyashko-Looijenga maps and graphs of Lagrange maps -- |
| -- | Miniversal Lagrange maps and F-manifolds -- |
| -- | Lyashko-Looijenga map of an F-manifold -- |
| -- | Discriminants and modality of F-manifolds -- |
| -- | Discriminant of an F-manifold -- |
| -- | 2-dimensional F-manifolds -- |
| -- | Logarithmic vector fields -- |
| -- | Isomorphisms and modality of germs of F-manifolds -- |
| -- | Analytic spectrum embedded differently -- |
| -- | Singularities and Coxeter groups -- |
| -- | Hypersurface singularities -- |
| -- | Boundary singularities -- |
| -- | Coxeter groups and F-manifolds -- |
| -- | Coxeter groups and Frobenius manifolds -- |
| -- | 3-dimensional and other F-manifolds -- |
| -- | Frobenius manifolds, Gauss-Manin connections, and moduli spaces for hypersurface singularities -- |
| -- | Construction of Frobenius manifolds for singularities -- |
| -- | Moduli spaces and other applications -- |
| -- | Connections over the punctured plane -- |
| -- | Flat vector bundles on the punctured plane -- |
| -- | Lattices -- |
| -- | Saturated lattices -- |
| -- | Riemann-Hilbert-Birkhoff problem -- |
| -- | Spectral numbers globally -- |
| -- | Meromorphic connections -- |
| -- | Logarithmic vector fields and differential forms -- |
| -- | Logarithmic pole along a smooth divisor -- |
| -- | Logarithmic pole along any divisor. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Singularities (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Frobenius algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Moduli theory. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521812962 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 151. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511543104">https://doi.org/10.1017/CBO9780511543104</a> |
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