Kim Anders Frøyshov

• Frøyshov, Kim Anders (2013). On the existence of representations of finitely presented groups in compact Lie groups. Topology and its Applications. ISSN 0166-8641. doi: 10.1016/j.topol.2013.08.003. Full text in Research Archive Show summary

  Given a finite, connected 2-complex X such that b2(X) ≤ 1 we establish two existence results for representations of the fundamental group of X into compact connected Lie groups G, with prescribed values on certain loops. If b2(X) = 1 we assume G = SO(3) and that the cup product on H1 (X; Q) is non-zero.

• Frøyshov, Kim Anders (2012). 4-manifolds and intersection forms with local coefficients. Journal of differential geometry. ISSN 0022-040X. doi: 10.4310/jdg/1344430823. Full text in Research Archive Show summary

  We extend Donaldson’s diagonalization theorem to intersection forms with certain local coefficients, under some constraints. This provides new examples of non-smoothable topological 4–manifolds.

• Frøyshov, Kim Anders (2010). Monopole Floer homology for rational homology 3-spheres. Duke mathematical journal. ISSN 0012-7094. Full text in Research Archive Show summary

  We give a new construction of monopole Floer homology for spinc rational homology 3–spheres. As applications we define two invariants of certain 4–manifolds with b1 = 1 and b + = 0.

• Frøyshov, Kim Anders (2008). Compactness and gluing theory for monopoles. Geometry and Topology Monographs. ISSN 1464-8989. Full text in Research Archive
• Frøyshov, Kim Anders (2005). Monopoles over 4-manifolds containing long necks, I. Geometry and Topology. ISSN 1465-3060. Full text in Research Archive
• Frøyshov, Kim Anders (2004). An inequality for the h-invariant in instanton Floer theory. Topology. ISSN 0040-9383. Full text in Research Archive
• Frøyshov, Kim Anders (2002). Equivariant aspects of Yang-Mills Floer theory. Topology. ISSN 0040-9383. Full text in Research Archive
• Frøyshov, Kim Anders (1996). The Seiberg-Witten equations and four-manifolds with boundary. Mathematical Research Letters. ISSN 1073-2780. Full text in Research Archive

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• Frøyshov, Kim Anders (2018). Instanton Floer homology over Z/2Z. Full text in Research Archive
• Frøyshov, Kim Anders (2018). Mod 2 instanton Floer homology. Full text in Research Archive
• Frøyshov, Kim Anders (2016). Mod 2 instanton Floer homology. Full text in Research Archive

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