Smooth-to-holonomic equivalence conjecture over the Novikov field
Let be a symplectic manifold and . Let be the subcategory of smooth holonomic objects in the microlocal category , and let be the subcategory of holonomic objects. Let be the Novikov ring and its Novikov field.
Smooth-to-holonomic equivalence conjecture. The inclusion
induces an equivalence over the Novikov field
This asserts that after extending scalars from the Novikov ring to its field, holonomic microlocal objects are generated by smooth ones. The supplied text gives no evidence that the statement has been resolved.
References
Primary source
Yuichi Ike and Tatsuki Kuwagaki, “Microlocal categories over Novikov rings”, arXiv:2307.01561 (2026).
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