Symplectic Instanton Homology: twisting, connected sums, and Dehn surgery
Guillem Cazassus
TL;DR
This paper introduces a twisted version of Symplectic Instanton homology, demonstrating its compatibility with Floer Field theory and analyzing its behavior under connected sum and Dehn surgery operations.
Contribution
It defines a new twisted invariant of Symplectic Instanton homology and establishes its theoretical framework and properties for topological modifications.
Findings
The twisted invariant is compatible with Floer Field theory.
Behavior under connected sum is characterized.
Behavior under Dehn surgery is described.
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.
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