29 citations · 187 across the 52 of their papers we have counts for
7 papers · 1 filter
Higher limits, homology theories and fr-codes
Sergei O. Ivanov, Roman Mikhailov
This text is based on lectures given by authors in summer 2015. It contains an introduction to the theory of limits over the category of presentations, with examples of different w…
Reconstruction and interpolation of manifolds I: The geometric Whitney problem
Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev +2
We study the geometric Whitney problem on how a Riemannian manifold can be constructed to approximate a metric space . This problem is closely related to manifold…
Homotopy theory and generalized dimension subgroups
Sergei O. Ivanov, Roman Mikhailov, Jie Wu
Let be a group and its normal subgroups. There is a natural extension of the concept of commutator subgroup for the case of three subgroups as well as the n…
On nontriviality of homotopy groups of spheres
Sergei O. Ivanov, Roman Mikhailov, Jie Wu
For , the homotopy groups are non-zero.
Spectral stability of metric-measure Laplacians
Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev
We consider a "convolution mm-Laplacian" operator on metric-measure spaces and study its spectral properties. The definition is based on averaging over small metric balls. For reas…
On commutator length in free groups
Laurent Bartholdi, Danil Fialkovski, Sergei O. Ivanov
Let be a free group. We present for arbitrary a LogSpace (and thus polynomial time) algorithm that determines whether a given is a product of at most…