An invitation to quantum cohomology : Kontsevich's formula for rational plane curves

Bibliographic Information

An invitation to quantum cohomology : Kontsevich's formula for rational plane curves

Joachim Kock, Israel Vainsencher

(Progress in mathematics, v. 249)

Birkhäuser, c2007

Other Title

A fórmula de Kontsevich para curvas racionais planas

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Note

"Based on the original Portuguese edition, A fórmula de Kontsevich para curvas racionais planas, Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil, c1999 J. Kock and I. Vainsencher."--T.p. verso

"This revised edition. Six years have past since the original Portuguese edition of this book appeared, ... This is a revised and expanded translation."--Pref., p. viii

Includes bibliographical references (p. [149]-155) and index

Description and Table of Contents

Description

Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Viewpoint is mostly that of enumerative geometry Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory

Table of Contents

Prologue: Warming Up with Cross Ratios, and the Definition of Moduli Space.- Stable n-pointed Curves.- Stable Maps.- Enumerative Geometry via Stable Maps.- Gromov-Witten Invariants.- Quantum Cohomology.

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