The universal-invariant conjecture for Donaldson theory with b-plus equal to one

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Let XX be a compact oriented 44-manifold with b+2(X)=1b_+^2(X)=1, without assuming that XX 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 XX. 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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