46 citations · 64 across the 8 of their papers we have counts for
7 papers · 1 filter
4-manifolds and intersection forms with local coefficients
Kim A. Froyshov
We extend Donaldson's diagonalization theorem to intersection forms with certain local coefficients, under some constraints. This provides new examples of non-smoothable topologica…
Monopole Floer homology for rational homology 3-spheres
Kim A. Froyshov
We give a new construction of monopole Floer homology for spin-c rational homology 3-spheres. As applications we define two invariants of certain smooth compact 4-manifolds with b_…
A generalized blow-up formula for Seiberg--Witten invariants
Kim A. Froyshov
We prove a gluing formula for Seiberg--Witten invariants which describes in particular the behaviour of the invariant under blow-up and rational blow-down.
Monopoles over 4-manifolds containing long necks, II
Kim A. Froyshov
We establish a gluing theorem for monopoles over 4--manifolds containing long necks. The theorem is stated in terms of an ungluing map defined explicitly in terms of data that appe…
Monopoles over 4-manifolds containing long necks, I
Kim A Froyshov
We study moduli spaces of Seiberg-Witten monopoles over spin^c Riemannian 4-manifolds with long necks and/or tubular ends. This first part discusses compactness, exponential decay,…
An inequality for the h-invariant in instanton Floer theory
Kim Anders Froyshov
In math.DG/9903083 (henceforth referred to as EA) we defined an integer invariant for oriented integral homology 3-spheres which only depends on the rational homology co…