A fractional version of Rivière's GL(N)-gauge

Francesca Da Lio, Katarzyna Mazowiecka, Armin Schikorra

We prove that for antisymmetric vectorfield $\Omega$ with small $L^2$-norm there exists a gauge $A\in L^{\infty }\cap {\dot{W}}^{1/2,2}({\mathbb{R}}^1,GL(N))$ such that ${\rm div}_{\frac12}…