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Title:
Gluing theories of contact instantons and of pseudoholomorphic curves in symplectic buildings
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Abstract:
We develop the gluing theory of contact instantons in the context of open strings, and in the context of closed strings with vanishing charge, for example in the symplectization context. This is one of the key ingredients for the study of (virtually) smooth moduli space of (bordered) contact instantons needed for the construction of contact instanton Floer cohomology and more generally for the construction of Fukaya-type category of Legendrian submanifolds in contact manifold . As an application, we also apply this gluing theory to that of moduli spaces of pseudoholomorphic curves in symplectic buildingsarising in Symplectic Field Theory (SFT), by canonically lifting the former to that of the latter.
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