Nikolai Saveliev

Professor

  • 132 Citations
19982018
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  • 2 Similar Profiles
Floer Homology Mathematics
Homology Spheres Mathematics
Homology Mathematics
Invariant Mathematics
Gauge Theory Mathematics
Invariant Theory Mathematics
Equivariant Mathematics
Casson Invariant Mathematics

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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 S1 × S3

Lin, J., Ruberman, D. & Saveliev, N., Jun 1 2018, In : Geometry and Topology. 22, 5, p. 2865-2942 78 p.

Research output: Contribution to journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

Lens Space
Homotopy
Ordered pair
Homeomorphic
Configuration Space