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math.AG2026
Fourier-Mukai transforms and normalisation of nodal curves
Emilio Franco, Robert Hanson, Johannes Horn +1
We study Arinkin's Poincaré sheaf on the singular locus of , the compactified Jacobian of rank one torsion-free sheaves on an integral n…
math.AG2025
Geometric Eisenstein series in non-abelian Hodge theory and hyperholomorphic branes from supersymmetry
Robert Hanson
Using geometric Eisenstein series, foundational work of Arinkin and Gaitsgory constructs cuspidal-Eisenstein decompositions for ind-coherent nilpotent sheaves on the de Rham moduli…
math.AG2024
The Dirac-Higgs complex and categorification of (BBB)-branes
Emilio Franco, Robert Hanson
Let denote the hyperkähler moduli space of -Higgs bundles over a smooth projective curve . In the context of four dimensional supersymmetri…