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Topological string partition functions as polynomials

Satoshi Yamaguchi Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43501

Journal of High Energy Physics, 2004, (7), 047, 2004.8
We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.
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@inproceedings{satoshi2004topological,
  title={Topological string partition functions as polynomials},
  author={Satoshi Yamaguchi, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203631471109065},
  booktitle={Journal of High Energy Physics},
  volume={2004},
  number={7},
  pages={047},
  year={2004},
}
Satoshi Yamaguchi, and Shing-Tung Yau. Topological string partition functions as polynomials. 2004. Vol. 2004. In Journal of High Energy Physics. pp.047. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203631471109065.
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