Enumerative Invariants in Algebraic Geometry and String Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005 / Edition 1

by Marcos Marino, Kai Behrend, Marco Manetti, Michael Thaddeus, Ravi Vakil

Overview

Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.

Product Details

ISBN-13:	9783540798132
Publisher:	Springer Berlin Heidelberg
Publication date:	10/10/2008
Series:	Lecture Notes in Mathematics , #1947
Edition description:	2008
Pages:	210
Product dimensions:	6.00(w) x 9.30(h) x 0.60(d)

About the Author

Dan Abramovich is a Professor of Mathematics at Brown University, working on Birational Geometry and Moduli Spaces.

Marco Manetti is a Professor of Mathematics at Sapienza University of Rome, working on Algebraic Geometry and Deformation Theory.

Table of Contents

Lectures on Gromov–Witten Invariants of Orbifolds.- Lectures on the Topological Vertex.- Floer Cohomology with Gerbes.- The Moduli Space of Curves and Gromov–Witten Theory.