Coverart for item
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)

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
Creator
Contributor
Subject
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 Gromov-Witten 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 self-study, as a text for a mini-course 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
Member of
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)
Instantiates
Publication
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 n-pointed curves -- Stable maps -- Enumerative geometry via stable maps -- Gromov-Witten 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)
Publication
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 n-pointed curves -- Stable maps -- Enumerative geometry via stable maps -- Gromov-Witten 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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