21 citations · 118 across the 25 of their papers we have counts for
27 papers
Instanton Floer homology and Milnor Fibers
Kyoung-Seog Lee, Anatoly Libgober, Nikolai Saveliev
In the early days of the Floer theory, Atiyah asked if there is a Milnor fiber description of the Floer homology of the links of singularities. We answer this question for the Brie…
Topological obstructions to the diagonalisation of pseudodifferential systems
Matteo Capoferri, Grigori Rozenblum, Nikolai Saveliev +1
Given a matrix pseudodifferential operator on a smooth manifold, one may be interested in diagonalising it by choosing eigenvectors of its principal symbol in a smooth manner. We s…
On the spectral sets of Inoue surfaces
Daniel Ruberman, Nikolai Saveliev
The Inoue surfaces are certain non-Kaehler complex surfaces that have the structure of a bundle over the circle. We study the Inoue surfaces with the Tricerri metric an…
On the monopole Lefschetz number of finite order diffeomorphisms
Jianfeng Lin, Daniel Ruberman, Nikolai Saveliev
Let be a knot in an integral homology 3-sphere , and the corresponding -fold cyclic branched cover. Assuming that is a rational homology sphere (which is always t…
On positive scalar curvature cobordisms and the conformal Laplacian on end-periodic manifolds
Demetre Kazaras, Daniel Ruberman, Nikolai Saveliev
We show that the periodic -invariants introduced by Mrowka--Ruberman--Saveliev~\cite{MRS3} provide obstructions to the existence of cobordisms with positive scalar curvature met…
Classification of first order sesquilinear forms
Matteo Capoferri, Nikolai Saveliev, Dmitri Vassiliev
A natural way to obtain a system of partial differential equations on a manifold is to vary a suitably defined sesquilinear form. The sesquilinear forms we study are Hermitian form…