Notes on Stable Maps and Quantum Cohomology
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چکیده
0.1. Overview. The aim of these notes is to describe an exciting chapter in the recent development of quantum cohomology. Guided by ideas from physics (see [W]), a remarkable structure on the solutions of certain rational enumerative geometry problems has been found: the solutions are coefficients in the multiplication table of a quantum cohomology ring. Associativity of the ring yields non-trivial relations among the enumerative solutions. In many cases, these relations suffice to solve the enumerative problem. For example, let Nd be the number of degree d, rational plane curves passing through 3d− 1 general points in P. Since there is a unique line passing through 2 points, N1 = 1. The quantum cohomology ring of P 2
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v 2 1 7 M ay 1 99 7 Notes On Stable Maps And Quantum
0.1. Overview. The aim of these notes is to describe an exciting chapter in the recent development of quantum cohomology. Guided by ideas from physics (see [W]), a remarkable structure on the solutions of certain rational enumerative geometry problems has been found: the solutions are coefficients in the multiplication table of a quantum cohomology ring. Associativity of the ring yields non-tri...
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تاریخ انتشار 1996