Mochizuki's formula with partition-function coefficients
Mochizuki's formula with partition-function coefficients
Let be a smooth -manifold with and odd . Let , , , , , , , , , , , , , and denote the quantities occurring in Mochizuki's result, Theorem~, and the partition formula, Theorem~; let and be the corresponding expressions.
Mochizuki's conjecture. Mochizuki's result holds for , up to sign, when is replaced by the coefficients of in the partition formula.
This is the paper's proposed relation between Mochizuki's formula and the partition-function expression for Donaldson invariants. The supplied text gives no resolution status, and the precise coefficient extraction and notation depend on results stated elsewhere in the paper.
Progress summary
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Sources & referencesView supporting material
Primary source
Lothar Göttsche, Hiraku Nakajima and Kota Yoshioka, “Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting”, arXiv:1001.5024 (2010).
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