After I studied Morse homology, I'm now studying the following Floer homology theories : 

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> 1) Symplectic Floer homology ;
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> 2) Floer homology of lagrangians ;
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> 3) Heegard-Floer homology ; 
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> 4) Instanton Floer homology ;
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> 5) Seiberg-Witten-Floer homology ;
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I saw that Morse homology of a compact manifold $M$ is isomorphic to singular homology of $M$. 

Similarly, I wonder if 1), 3), 4) and 5) are always isomorphic to singular homology of some corresponding space. If not, under which conditions are they ?

Moreover, does 2) link in some way or another to the others ?