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Book cover of Enumerative Invariants in Algebraic Geometry and String Theory

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

by Marcos Marino, Michael Thaddeus, Ravi Vakil ยท 2009

ISBN: 3540872663 9783540872665

Category: Mathematics / Algebra / General

Page count: 210

<p>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.</p>