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

Creators: Marcolli, Matilde; Wang, Bai-Ling

Abstract

This is the second part of the proof of the exact traiangles in Seiberg-Witten Floer theory. We analyse the splitting and gluing of flow lines of the Chern-Simons-Dirac functional when the underlying three-manifold splits along a torus. (two corrections added)

Additional Information

(Submitted on 12 Jul 1999 (v1), last revised 15 Sep 2000 (this version, v2) We are deeply grateful to Tom Mrowka who corrected several mistakes in our understanding of the convergence and gluing of flow lines, and referred us to the results of [5] and to their rescaling technique as a possible model for our problem. The first author benefited of several conversations with T.R. Ramadas, who suggested the use of the radial gauge limits. Part of this work was done during visits of the first author to the Tata Institute of Fundamental Research in Mumbai, and to the Max Planck Institut für Mathematik in Bonn. We thank these institutions for the kind hospitality and for support. The first author is partially supported by NSF grant DMS-9802480. The second author is supported by ARC Fellowship.

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