Enumerative Geometry and String Theory. Sheldon Katz. American Mathematical Soc., - Mathematics - pages. 0 Reviews. 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 Author: Sheldon Katz. Get this from a library! Enumerative geometry and string theory. [Sheldon Katz] -- 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. Introduction. Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten.
It was published in and contains a wealth of classical results (there is a chapter devoted to enumerative geometry). Going back a bit further, both German and French Encyclopaedias of Mathematical Sciences published in the early 20th century had surveys of algebraic geometry. Moving in the opposite direction, Fulton's "Intersection theory. The interaction of finite type and Gromov-Witten invariants Dave Auckly (Kansas State University), Jim Bryan (University of British Columbia) November 15 - Novem This is the final report on the workshop titled "The interaction of finite type and Gromov- Witten invariants.". This was a five-day workshop held at the Banff. Sheldon H. Katz (19 December , Brooklyn) is an American mathematician, specializing in algebraic geometry and its applications to string theory. Background and Career. In Katz won first prize in Enumerative Geometry and String Theory. Student Mathematical Library. AMS.
String Theory and 2D Quantum Gravity String theory can be viewed as an attempt to overcome severe divergence problems in the quantization of Einstein's four-dimensional General Relativity. Classically, General Relativity expresses the relation between the matter (described as interacting field theories), and the ge- ometry of space (captured in. Introduction. Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten. 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.
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