Description

Book Synopsis
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. The book begins with an insightful introduction to enumerative geometry.

Table of Contents
Warming up to enumerative geometry Enumerative geometry in the projective plane Stable maps and enumerative geometry Crash course in topology and manifolds Crash course in $C^\infty$ manifolds and cohomology Cellular decompositions and line bundles Enumerative geometry of lines Excess intersection Rational curves on the quintic threefold Mechanics Introduction to supersymmetry Introduction to string theory Topological quantum field theory Quantum cohomology and enumerative geometry Bibliography Index.

Enumerative Geometry and String Theory

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    A Paperback by Sheldon Katz

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 4/30/2006 12:00:00 AM
      ISBN13: 9780821836873, 978-0821836873
      ISBN10: 0821836870

      Description

      Book Synopsis
      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. The book begins with an insightful introduction to enumerative geometry.

      Table of Contents
      Warming up to enumerative geometry Enumerative geometry in the projective plane Stable maps and enumerative geometry Crash course in topology and manifolds Crash course in $C^\infty$ manifolds and cohomology Cellular decompositions and line bundles Enumerative geometry of lines Excess intersection Rational curves on the quintic threefold Mechanics Introduction to supersymmetry Introduction to string theory Topological quantum field theory Quantum cohomology and enumerative geometry Bibliography Index.

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