A Weil-pairing refinement of the DDR cycle is introduced and proved to satisfy a multiple-cover formula, yielding refined log-GW invariants of toric surfaces that also satisfy the formula.
Enumerative invariants of stongly semipositive real symplectic six-manifolds
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abstract
Following the approach of Gromov and Witten, we define invariants under deformation of stongly semipositive real symplectic six-manifolds. These invariants provide lower bounds in real enumerative geometry, namely for the number of real rational $J$-holomorphic curves which realize a given homology class and pass through a given real configuration of points.
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math.AG 1years
2026 1verdicts
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A correlated refinement of the double double ramification cycle
A Weil-pairing refinement of the DDR cycle is introduced and proved to satisfy a multiple-cover formula, yielding refined log-GW invariants of toric surfaces that also satisfy the formula.