In this article, we study a long exact sequence relating the mstanton homology of two homology 3-spheres which are obtained from each other by ± 1 -surgery. We prove that the long exact sequence, via a short exact sequence of chain complex, is the same as the sequence defined by the exact triangle of cobordisms introduced by Floer.
Cite this article
Hong-Yu Wang, The Exactness Theorem for Floer Homology. Publ. Res. Inst. Math. Sci. 33 (1997), no. 5, pp. 713–750DOI 10.2977/PRIMS/1195145014