Shklyarov's normalization conjecture for the higher residue pairing
Shklyarov's normalization conjecture for the higher residue pairing
Let be the polynomial ring and a polynomial as in the source, let be the relevant degree, and let be the constant such that the canonical pairing on corresponds under the Hochschild–Kostant–Rosenberg isomorphism to times the higher residue pairing on . Shklyarov's conjecture. For any ,
The prediction specifies the universal normalization constant relating the canonical pairing and the higher residue pairing under the HKR isomorphism. The supplied text gives no resolution status for this prediction.
Sources & referencesView supporting material
Primary source
Michael K. Brown and Mark E. Walker, “A proof of a conjecture of Shklyarov”, arXiv:1909.04088 (2020).
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