Using Liu's modular invariance method and its odd-dimensional extension by Han and Yu, we establish new Witten rigidity theorems for the generalized Witten genus of twisted Dirac operators on even-dimensional spinᶜ manifolds and twisted Toeplitz operators on odd-dimensional spinᶜ manifolds with circle actions.
No takes yet. Share an insight, caveat, or question.
Guan et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: