Using Symmetry to Count Rational Curves
نویسنده
چکیده
The recent “close encounter” between enumerative algebraic geometry and theoretical physics has resulted in many new applications and new techniques for counting algebraic curves on a complex projective manifold. For example, string theorists demonstrated that generating functions built from counting curves can have completely unexpected relationships with other geometric constructions, via mirror symmetry [8]. In this paper, I want to focus on generating functions built from counting rational curves, and another insight inspired by physicists – the existence of hidden symmetries in the generating functions themselves.
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