Research Output per year

## Fingerprint Dive into the research topics where Nikolai Saveliev is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 2 Similar Profiles

Floer Homology
Mathematics

Homology Spheres
Mathematics

Homology
Mathematics

Invariant
Mathematics

Gauge Theory
Mathematics

Invariant Theory
Mathematics

Equivariant
Mathematics

Casson Invariant
Mathematics

##
Network
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## Research Output 1998 2018

- 132 Citations
- 27 Article

1
Citation
(Scopus)

## A splitting theorem for the seiberg-witten invariant of a homology S^{1} × S^{3}

Lin, J., Ruberman, D. & Saveliev, N., Jun 1 2018, In : Geometry and Topology. 22, 5, p. 2865-2942 78 p.Research output: Contribution to journal › Article

Seiberg-Witten Invariants

Homology

4-manifold

Monopole

Theorem

1
Citation
(Scopus)

## Analytic definition of spin structure

Avetisyan, Z., Fang, Y. L., Saveliev, N. & Vassiliev, D., Aug 1 2017, In : Journal of Mathematical Physics. 58, 8, 082301.Research output: Contribution to journal › Article

Spin Structure

differential operators

Linear Differential Operator

Gauge Transformation

4-manifold

## Link homology and equivariant gauge theory

Poudel, P. & Saveliev, N., Sep 19 2017, In : Algebraic and Geometric Topology. 17, 5, p. 2635-2685 51 p.Research output: Contribution to journal › Article

Gauge Theory

Equivariant

Knot

Homology

Instantons

1
Citation
(Scopus)

## An index theorem for end-periodic operators

Mrowka, T., Ruberman, D. & Saveliev, N., Feb 1 2016, In : Compositio Mathematica. 152, 2, p. 399-444 46 p.Research output: Contribution to journal › Article

Index Theorem

Eta Invariant

Michael Francis Atiyah

Operator

Fredholm Theory

## On the deleted squares of lens spaces

Evans-Lee, K. & Saveliev, N., Aug 15 2016, In : Topology and its Applications. 209, p. 134-152 19 p.Research output: Contribution to journal › Article

Lens Space

Homotopy

Ordered pair

Homeomorphic

Configuration Space