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This final issue of GT Volume 14 is devoted to a set of five papers by
Cliff Taubes.
Any given oriented, compact 3-dimensional manifold has a number of
associated Floer homologies. One of these is the Seiberg-Witten Floer
homology - also known as Monopole Floer homology. This Floer homology
is computed using an algebraic count of certain pairs of connection
and spinor on the 3-manifold. A second and very different looking
Floer homology is Michael Hutching's embedded contact homology. The
definition of the latter requires the introduction of a contact
structure on the three manifold. This version is computed using an
algebraic count of the closed integral curves of the associated Reeb
vector field. The papers in this issue supply an isomorphism between
embedded contact homology and the Seiberg-Witten Floer cohomology.
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