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arXiv · 2604.05534

A Pardon Algebra for Zero-cycles

Kai Behrend
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Abstract

Recently, John Pardon proved the MNOP conjecture (on the GW-DT correspondence for CY3s) by introducing a new mathematical gadget, which we call the Pardon homology algebra of 1-cycles in 3-folds. We work out an analogous construction for 0-cycles in d-folds. This gives a new point of view on enumerative problems involving point-counting, such as, for example, the degree zero MNOP conjecture on the Hilbert scheme of points in projective 3-folds.

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Kai Behrend. 2026-04-07. A Pardon Algebra for Zero-cycles. https://arxiv.org/abs/2604.05534

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