Twisted functoriality in nonabelian Hodge theory in positive characteristic

TL;DR

This paper proves twisted functoriality in nonabelian Hodge theory over positive characteristic fields and uses it to give an algebraic proof that pullbacks of certain Higgs bundles preserve semistability.

Contribution

It introduces twisted functoriality in nonabelian Hodge theory in positive characteristic, providing new algebraic tools for Higgs bundle analysis.

Findings

Established twisted functoriality in positive characteristic

Proved pullback preserves semistability of Higgs bundles

Provided algebraic proof of semistability preservation

Abstract

We establish the twisted functoriality in nonabelian Hodge theory in positive characteristic. As an application, we obtain a purely algebraic proof of the fact that the pullback of a semistable Higgs bundle with vanishing Chern classes is again semistable.