The equivalence of two Seiberg-Witten Floer homologies
  We show that monopole Floer homology (as defined by Kronheimer and Mrowka) is isomorphic to the S^1-equivariant homology of the Seiberg-Witten Floer spectrum constructed by the second author. 
Tye Lidman and Ciprian Manolescu
math.GT