Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary

Simone Cecchini, Mehran Seyedhosseini, Vito Felice Zenobi

In this paper, we define a relative $L^2$-$\rho$-invariant for Dirac operators on odd-dimensional spin manifolds with boundary and show that they are invariants of the bordism classes…