Extended deformation of Kodaira surfaces

Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43807

Journal fur die reine und angewandte Mathematik (Crelles Journal), 2006, (590), 45-65, 2006.1
We present the extended Kuranishi space for a Kodaira surface as a nontrivial example to Kontsevich and Barannikov's extended deformation theory. We provide a non-trivial example of Hertling-Manin's weak Frobenius manifold. In addition, we find that Kodaira surface is its own mirror image in the sense of Merkulov. The calculations of extended deformation and the weak Frobenius structure are based on Merkulov's perturbation method. Our computation of cohomology is done in the context of compact nilmanifolds.
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@inproceedings{yat2006extended,
  title={Extended deformation of Kodaira surfaces},
  author={Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220816177299336},
  booktitle={Journal fur die reine und angewandte Mathematik (Crelles Journal)},
  volume={2006},
  number={590},
  pages={45-65},
  year={2006},
}
Yat Sun Poon. Extended deformation of Kodaira surfaces. 2006. Vol. 2006. In Journal fur die reine und angewandte Mathematik (Crelles Journal). pp.45-65. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220816177299336.
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