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math.DG2013
The Novikov conjecture on Cheeger spaces
Pierre Albin, Eric Leichtnam, Rafe Mazzeo +1
We prove the Novikov conjecture on oriented Cheeger spaces whose fundamental group satisfies the strong Novikov conjecture. A Cheeger space is a stratified pseudomanifold admitting…
math.DG2013
Hodge theory on Cheeger spaces
Pierre Albin, Eric Leichtnam, Rafe Mazzeo +1
We extend the study of the de Rham operator with ideal boundary conditions from the case of isolated conic singularities, as analyzed by Cheeger, to the case of arbitrary stratifie…