The universal-invariant conjecture for Donaldson theory with b-plus equal to one
Let be a compact oriented -manifold with , without assuming that is simply connected, and consider its Donaldson-theoretic moduli spaces and geometric data as in the preceding setup. Universal-invariant conjecture for Donaldson theory. The universal-invariant conjecture holds for Donaldson theory of . This would place Donaldson invariants, including wall-crossing phenomena associated with stability conditions, within the proposed universal enumerative framework. The source presents this as an expected application rather than a theorem, and no resolution is supplied here.
References
Primary source
Jacob Gross, Dominic Joyce and Yuuji Tanaka, “Universal structures in C-linear enumerative invariant theories”, arXiv:2005.05637 (2022).
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