# 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} }

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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## Equivariant motivic integration and proof of the integral identity conjecture for regular functions

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CITES RESULTS & BACKGROUND

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