Proves Toda's chi-independence conjecture and identifies BPS Lie algebra with tautological classes for one-dimensional Mukai vectors using Hecke operators and bialgebra structures.
Khan, Virtual fundamental classes for derived stacks I
4 Pith papers cite this work. Polarity classification is still indexing.
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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.
An analogous Pardon homology algebra is defined for zero-cycles in d-folds, supplying a new perspective on point-counting enumerative problems including the degree-zero MNOP conjecture.
Lecture notes covering the theory of algebraic stacks for an 11-lecture graduate course.
citing papers explorer
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Hecke operators on symplectic surfaces and $\chi$-independence
Proves Toda's chi-independence conjecture and identifies BPS Lie algebra with tautological classes for one-dimensional Mukai vectors using Hecke operators and bialgebra structures.
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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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A Pardon Algebra for Zero-cycles
An analogous Pardon homology algebra is defined for zero-cycles in d-folds, supplying a new perspective on point-counting enumerative problems including the degree-zero MNOP conjecture.