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.
Formality of derived intersections and the orbifold HKR isomorphism
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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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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 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.