Corpus ID: 15813881

Random surfaces enumerating algebraic curves

@article{Okounkov2004RandomSE,
  title={Random surfaces enumerating algebraic curves},
  author={A. Okounkov},
  journal={arXiv: Mathematical Physics},
  year={2004}
}
  • A. Okounkov
  • Published 2004
  • Mathematics, Physics
  • arXiv: Mathematical Physics
The discovery that a relation exists between the two topics in the title was made by physicists who viewed them as two approaches to Feynman integral over all surfaces in string theory: one via direct discretization, the other through topological methods. A famous example is the celebrated conjecture by Witten connecting combinatorial tessellations of surfaces (conveniently enumerated by random matrix integrals) with intersection theory on the moduli spaces of curves, see [45]. Several… Expand

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