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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.GT2018
Enlargeable metrics on nonspin manifolds
Simone Cecchini, Thomas Schick
We show that an enlargeable Riemannian metric on a (possibly nonspin) manifold cannot have uniformly positive scalar curvature. This extends a well-known result of Gromov and Lawso…