Pure Mathematics

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Browsing Pure Mathematics by Author "Block, Jonathan"

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    Homotopy invariance of Novikov-Shubin invariants and L2 Betti numbers
    (1997) Block, Jonathan; Mathai, Varghese; Weinberger, Shmuel
    We give short proofs of the Gromov-Shubin theorem on the homotopy invariance of the Novikov-Shubin invariants and of the Dodziuk theorem on the homotopy invariance of the $L^2$ Betti numbers of the universal covering of a closed manifold in this paper. We show that the homotopy invariance of these invariants is no more difficult to prove than the homotopy invariance of ordinary homology theory.