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020 _a9780821887301
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a514.8
_bKAT-E
100 _aKatz, Sheldon
245 _aEnumerative geometry and string theory
260 _aProvidence :
_bAmerican Mathematical Society,
_c2013.
300 _axiii, 206p. ;
_b22 cm.
490 _aStudent mathematical library ;
_vvolume 32.
504 _aIncludes bibliographical references (p. 197-200) and index.
520 _aPerhaps 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.
650 _aGeometry, Enumerative.
650 _aString models.
856 _3Table of Contents
_uhttps://www.ams.org/bookstore/pspdf/stml-32-toc.pdf?_gl=1*kw4i98*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ2NTk3Ny4wLjAuMA..
856 _3Reviews
_uhttps://www.goodreads.com/book/show/223833.Enumerative_Geometry_and_String_Theory?from_search=true&from_srp=true&qid=t1JcZ9J5X4&rank=1#CommunityReviews
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