Sheldon Katz: University of Illinois at Urbana-Champaign, Urbana, IL
发表于2024-12-18
Enumerative Geometry And String Theory 2024 pdf epub mobi 电子书
图书标签: 数学 数学物理 弦论7 physics mathematics String Math MP
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.
本科时候读过,很有意思的一本小书,从最基本的开始一直介绍到Gromov-Witten不变量,挺好的入门读物~~
评分贝祖定理和相交理论,利用相交定义圆锥曲线的切线是交点唯一且重数是2.Gromov-Witten 是稳定映射的枚举不变量。点和时间线,弦和时间面,代数曲线是p1树的粘结,树的奇点是节点
评分贝祖定理和相交理论,利用相交定义圆锥曲线的切线是交点唯一且重数是2.Gromov-Witten 是稳定映射的枚举不变量。点和时间线,弦和时间面,代数曲线是p1树的粘结,树的奇点是节点
评分贝祖定理和相交理论,利用相交定义圆锥曲线的切线是交点唯一且重数是2.Gromov-Witten 是稳定映射的枚举不变量。点和时间线,弦和时间面,代数曲线是p1树的粘结,树的奇点是节点
评分本科时候读过,很有意思的一本小书,从最基本的开始一直介绍到Gromov-Witten不变量,挺好的入门读物~~
Enumerative Geometry And String Theory 2024 pdf epub mobi 电子书