Exact triangles in Seiberg - Witten - Floer theory . Part III : proof of exactness

Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines

Exact triangles in Seiberg - Witten Floer theory . Part I : the geometric triangle

1 Ju l 1 99 9 Exact triangles in Seiberg - Witten Floer theory . Part I : the geometric triangle

Exact triangles in Seiberg-Witten-Floer theory. Part IV: Z-graded monopole homology

in the previous diagram. In this paper we explain the precise meaning of this term. More specifically, we analyze some aspects of the construction of the Seiberg-Witten-Floer homology of the manifold Y0, obtained by 0-surgery on the knotK in the homology sphere Y . The manifold Y0 has the homology of S1 × S2. For manifolds with b1(Y0) > 0 we know (cf. [3], [10], [11], [20]) that there is a well...

Exact triangles in monopole homology and the Casson-Walker invariant

The purpose of this paper is to give a general outline of the problem of the exact triangles in Seiberg–Witten–Floer theory. We present here the most general case, where the problem consists of producing a surgery formula relating the monopole homology of a compact oriented 3–manifold Y with an embedded knot K, and the monopole homologies of some 3–manifolds obtained by Dehn surgery on K. In th...