@article{20043,
  abstract     = {We establish an isomorphism of complex K-theory of the moduli space  M  of “SL n​ ”-Higgs bundles of degree d and rank n (in the sense of Hausel–Thaddeus) and twisted complex K-theory of the orbifold  M  of PGL n​ -Higgs bundles of degree e, where (n,d)=(n,e)=1. Along the way, we prove the vanishing of torsion for H ∗ ( M ) and certain twisted complex K-theory groups of  M . We also extend Arinkin’s autoduality of compactified Jacobian to a derived equivalence between SL n​ - and PGL n​ -Hitchin systems over the elliptic locus. In the appendix, we develop a formalism of G-sheaves of spectra, generalising equivariant homotopy theory to a relative setting.},
  author       = {Groechenig, Michael and Shen, Shiyu},
  issn         = {1435-9863},
  journal      = {Journal of the European Mathematical Society},
  publisher    = {EMS Press},
  title        = {{Complex K-theory of moduli spaces of Higgs bundles}},
  doi          = {10.4171/jems/1601},
  year         = {2025},
}