Journal of Symplectic Geometry

Volume 17 (2019)

Number 1

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

Pages: 93 – 177



Guillem Cazassus (Laboratoire de Mathématiques Jean Leray, Université de Nantes, France)


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.

Received 22 July 2016

Accepted 14 June 2018

Published 23 May 2019