21 citations · 118 across the 25 of their papers we have counts for
19 papers · 1 filter
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…
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 the Frøyshov invariant and monopole Lefschetz number
Jianfeng Lin, Daniel Ruberman, Nikolai Saveliev
Given an involution on a rational homology 3-sphere with quotient the -sphere, we prove a formula for the Lefschetz number of the map induced by this involution in the reduc…
A splitting theorem for the Seiberg-Witten invariant of a homology
Jianfeng Lin, Daniel Ruberman, Nikolai Saveliev
We study the Seiberg-Witten invariant of smooth spin -manifolds with integral homology of defined by Mrowka, Ruberman, and Saveliev as a si…
Link homology and equivariant gauge theory
Prayat Poudel, Nikolai Saveliev
The singular instanton Floer homology was defined by Kronheimer and Mrowka in connection with their proof that the Khovanov homology is an unknot detector. We study this theory for…