Symplectic Instanton Homology: twisting, connected sums, and Dehn surgery

Abstract

We define a twisted version of Manolescu and Woodward's Symplectic Instanton homology, prove that this invariant fits into the framework of Wehrheim and Woodward's Floer Field theory, and describe its behaviour for connected sum and Dehn surgery.

arXiv commentDetails added, including proof of prop. 4.4. Grammar and spelling mistakes corrected. To appear in Journal of Symplectic Geometry