Smooth-to-holonomic equivalence conjecture over the Novikov field
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.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Yuichi Ike and Tatsuki Kuwagaki, “Microlocal categories over Novikov rings”, arXiv:2307.01561 (2026).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.