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We prove a motivic integral identity relating the motivic Behrend function of a (-1) -shifted symplectic stack to that of its stack of graded points. This generalizes analogous identities for moduli stacks of objects in a 3-Calabix2013Yau category obtained by Kontsevichx2013Soibelman and Joycex2013Song, which are crucial in proving wall-crossing formulae for Donaldsonx2013Thomas invariants. We expect our identity to be useful in generalizing motivic Donaldsonx2013Thomas theory to general (-1) -shifted symplectic stacks.
Chenjing Bu (Thu,) studied this question.
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