A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration

@article{Thng2017ASS,
  title={A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration},
  author={L{\^e} Qu{\'y} Thưởng},
  journal={Acta Mathematica Vietnamica},
  year={2017},
  volume={42},
  pages={289-310}
}
  • Lê Quý Thưởng
  • Published 2017
  • Mathematics
  • In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these invariants. A purpose of this note is to show how the conjecture arises. Because of the integral identity’s nature, we shall give a quick tour on theories of motivic integration, which lead to a proof of the conjecture for algebraically closed ground fields of characteristic zero… CONTINUE READING

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