Enumerative Geometry And String Theory pdf epub mobi txt 电子书下载 2025

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Sheldon Katz: University of Illinois at Urbana-Champaign, Urbana, IL

出版者:AMS

作者:Sheldon Katz

出品人:

页数:206

译者:

出版时间:2006-4-19

价格:USD 36.00

装帧:Paperback

isbn号码:9780821836873

丛书系列:Student Mathematical Library

图书标签:

数学
数学物理
弦论7
physics
mathematics
String
Math
MP

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Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics!

The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry.

The physics content assumes nothing beyond a first undergraduate course. The focus is on explaining the action principle in physics, the idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.