Contact structures, sutured Floer homology and TQFT

Mathematics – Geometric Topology

Scientific paper

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37 pages, 19 figures

Scientific paper

We describe the natural gluing map on sutured Floer homology which is induced
by the inclusion of one sutured manifold (M',\Gamma') into a larger sutured
manifold (M,\Gamma), together with a contact structure on M-M'. As an
application of this gluing map, we produce a (1+1)-dimensional TQFT by
dimensional reduction and study its properties.

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