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math.GT2020★ 1 cited
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 --invariant for Dirac operators on odd-dimensional spin manifolds with boundary and show that they are invariants of the bordism classes…
math.DG2020
A long neck principle for Riemannian spin manifolds with positive scalar curvature
Simone Cecchini
We develop index theory on compact Riemannian spin manifolds with boundary in the case when the topological information is encoded by bundles which are supported away from the boun…