Moore–Witten conjecture for SU(2) Donaldson invariants of CP^2
Moore–Witten conjecture for SU(2) Donaldson invariants of CP^2
Consider the complex projective plane with gauge group . Its regularized -plane integral has a contribution from the cusp at . Moore–Witten conjecture for . The contribution from the cusp at to the regularized -plane integral of for the gauge group is equal to the generating function for the -Donaldson invariants of . The source explicitly identifies this as the remaining open case of the broader Moore–Witten conjecture.
Sources & referencesView supporting material
Primary source
Andreas Malmendier, “Donaldson invariants of CP^1 x CP^1 and Mock Theta Functions”, arXiv:1008.0175 (2011).
Additional references
2 papers in this index state this conjecture (2008–2010). The statement above is taken from the most recent of them; the others are arXiv:0808.1442.
Progress summary
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