Enumerative Geometry and String Theory

By: Katz, SheldonMaterial type: TextTextLanguage: English Series: Student Mathematical Library IAS/Park City Mathematics Subseries ; 32Publication details: Providence American Mathematical Society 2006Description: xiii, 206pISBN: 9780821887301 (PB)Subject(s): String models | Enumerative Geometry | MathematicsSummary: 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.
Item type: BOOKS List(s) this item appears in: New Arrivals (19 July 2024)
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Includes Bibliography (197-200) and Index

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.

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