8 citations · 13 across the 5 of their papers we have counts for
6 papers · 1 filter
Finite group actions on 4-manifolds and equivariant bundles
Nima Anvari, Ian Hambleton
Given a 4-manifold with a homologically trivial and locally-linear cyclic group action, we obtain necessary and sufficient conditions for the existence of equivariant bundles. The…
Cyclic Branched Coverings of Brieskorn Spheres Bounding Acyclic 4-Manifolds
Nima Anvari, Ian Hambleton
We show that standard cyclic actions on Brieskorn homology 3-spheres with non-empty fixed set do not extend smoothly to any contractible smooth 4-manifold it may bound. The quotien…
A Splitting Formula in Instanton Floer Homology
Nima Anvari
In a recent paper, Lin, Ruberman and Saveliev proved a splitting formula expressing the Seiberg-Witten invariant of a smooth -manifold with rational homology of $S^1…
Equivariant Rho-Invariants and Instanton Homology of Torus Knots
Nima Anvari
The equivariant rho-invariants studied in this paper are a version of the classical rho-invariants of Atiyah, Patodi, and Singer in the presence of an isometric involution. We comp…
Cyclic Group Actions on Contractible 4-Manifolds
Nima Anvari, Ian Hambleton
There are known infinite families of Brieskorn homology 3-spheres which can be realized as boundaries of smooth contractible 4-manifolds. In this paper we show that free periodic a…
Extending Smooth Cyclic Group Actions on the Poincare Homology Sphere
Nima Anvari
Let denote a compact, simply-connected smooth -manifold with boundary the Poincaré homology -sphere and with even negative definite intersection form $Q_{X_0…