The Resource An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
Resource Information
The item An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 "This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. Kontsevich's formula in initially established in the framework of classical enumerative geometry, then as a statement about reconstruction for GromovWitten invariants, and finally, using generating functions, as a special case of the associativity of the quantum product." "Emphasis is given throughout the exposition of examples, heuristic discussions, and simple applications of the basic tools to best convey the intuition behind the subject. The book demystifies these new quantum techniques by showing how they fit into classical algebraic geometry." "Some familiarity with basic algebraic geometry and elementary intersection theory is assumed. Each chapter concludes with some historical comments and an outline to key topics and themes as a guide for further study, followed by a collection of exercises that complement the material covered and reinforce computational skills. As such, the book is ideal for selfstudy, as a text for a minicourse in quantum cohomology, or as a special topics text in a standard course in intersection theory. The book will prove equally useful to graduate students in the classroom setting as to researchers in geometry and physics who wish to learn about the subject."Jacket
 Language
 eng
 Extent
 1 online resource (xii, 159 p.)
 Note
 Revised and expanded translation of the original Portuguese edition (A fórmula de Kontsevich para curvas racionais planas. Rio de Janeiro : Instituto de Matemática Pura e Aplicada, c1999)
 Contents

 Stable npointed curves
 Stable maps
 Enumerative geometry via stable maps
 GromovWitten invariants
 Quantum cohomology
 Isbn
 9786611338374
 Label
 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves
 Title
 An invitation to quantum cohomology
 Title remainder
 Kontsevich's formula for rational plane curves
 Statement of responsibility
 Joachim Kock, Israel Vainsencher
 Title variation
 Kontsevich's formula for rational plane curves
 Language
 eng
 Summary
 "This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. Kontsevich's formula in initially established in the framework of classical enumerative geometry, then as a statement about reconstruction for GromovWitten invariants, and finally, using generating functions, as a special case of the associativity of the quantum product." "Emphasis is given throughout the exposition of examples, heuristic discussions, and simple applications of the basic tools to best convey the intuition behind the subject. The book demystifies these new quantum techniques by showing how they fit into classical algebraic geometry." "Some familiarity with basic algebraic geometry and elementary intersection theory is assumed. Each chapter concludes with some historical comments and an outline to key topics and themes as a guide for further study, followed by a collection of exercises that complement the material covered and reinforce computational skills. As such, the book is ideal for selfstudy, as a text for a minicourse in quantum cohomology, or as a special topics text in a standard course in intersection theory. The book will prove equally useful to graduate students in the classroom setting as to researchers in geometry and physics who wish to learn about the subject."Jacket
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1967
 http://library.link/vocab/creatorName
 Kock, Joachim
 Dewey number
 516.3/5
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA607
 LC item number
 .K63 2004eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Vainsencher, Israel
 Series statement
 Progress in mathematics
 Series volume
 vol. 249
 http://library.link/vocab/subjectName

 Geometry, Enumerative
 Quantum theory
 Homology theory
 Curves, Plane
 Géométrie énumérative
 Théorie quantique
 Homologie
 Courbes planes
 Label
 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
 Note
 Revised and expanded translation of the original Portuguese edition (A fórmula de Kontsevich para curvas racionais planas. Rio de Janeiro : Instituto de Matemática Pura e Aplicada, c1999)
 Bibliography note
 Includes bibliographical references (p. [149]155) and index
 Color
 multicolored
 Contents
 Stable npointed curves  Stable maps  Enumerative geometry via stable maps  GromovWitten invariants  Quantum cohomology
 Control code
 SPR232363311
 Dimensions
 unknown
 Extent
 1 online resource (xii, 159 p.)
 Form of item
 online
 Isbn
 9786611338374
 Other physical details
 ill.
 Specific material designation
 remote
 Label
 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
 Note
 Revised and expanded translation of the original Portuguese edition (A fórmula de Kontsevich para curvas racionais planas. Rio de Janeiro : Instituto de Matemática Pura e Aplicada, c1999)
 Bibliography note
 Includes bibliographical references (p. [149]155) and index
 Color
 multicolored
 Contents
 Stable npointed curves  Stable maps  Enumerative geometry via stable maps  GromovWitten invariants  Quantum cohomology
 Control code
 SPR232363311
 Dimensions
 unknown
 Extent
 1 online resource (xii, 159 p.)
 Form of item
 online
 Isbn
 9786611338374
 Other physical details
 ill.
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Aninvitationtoquantumcohomology/2iovvHMx_5U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Aninvitationtoquantumcohomology/2iovvHMx_5U/">An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>