An Invitation to Quantum Cohomology Kontsevich’s Formula for Rational Plane Curves.

• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Series: Progress in Mathematics ; 249
• Subjects: Mathematics.; Algebraic geometry.; K-theory.; Applied mathematics.; Engineering mathematics.; Geometry.; Algebraic topology.; Physics.; Algebraic Geometry.; K-Theory.; Mathematical Methods in Physics.; Algebraic Topology.; Applications of Mathematics.

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...

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.