46 citations · 64 across the 8 of their papers we have counts for
9 papers
Mod 2 instanton homology and 4-manifolds with boundary
Kim A. Frøyshov
Using instanton homology with coefficients in we construct a homomorphism from the homology cobordism group in dimension 3 to the integers which is not a rational linea…
On the existence of representations of finitely presented groups in compact Lie groups
Kim A. Froyshov
Given a finite, connected 2-complex such that we establish two existence results for representations of the fundamental group of into compact connected Lie gro…
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…