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math.KT2013★ 9 cited
A higher limit approach to homology theories
Sergei O. Ivanov, Roman Mikhailov
A lot of well-known functors such as group homology, cyclic homology of algebras can be described as limits of certain simply defined functors over categories of presentations. In…
math.AP2013
A graph discretization of the Laplace-Beltrami operator
Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev
We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) grap…