The relative Bruce-Roberts number of a function on a hypersurface

Barbara K. Lima-Pereira, Juan Jose Nuno-Ballesteros, Bruna Orefice-Okamoto +1

We consider the relative Bruce-Roberts number ${\mu }_{BR}^{-}(f,X)$ of a function on an isolated hypersurface singularity $(X,0)$. We show that ${\mu }_{BR}^{-}(f,X)$ is equal to the sum of…