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.
arXiv preprint arXiv:2308.14470 , year=
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Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
The decomposition theorem for logarithmic Hochschild homology extends from firm to general logarithmic orbifolds, enabling computations for symmetric products and proving invariance under root stack operations.
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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.
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Functoriality of logarithmic Hochschild homology of log smooth pairs
Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
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Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
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Logarithmic Hochschild (co)homology of logarithmic orbifolds
The decomposition theorem for logarithmic Hochschild homology extends from firm to general logarithmic orbifolds, enabling computations for symmetric products and proving invariance under root stack operations.