Symplectic Instanton Homology: naturality, and maps from cobordisms
Abstract
We prove that Manolescu and Woodward's Symplectic Instanton homology, and its twisted versions are natural, and define maps associated to four dimensional cobordisms within this theory. This allows one to define representations of the mapping class group and the fundamental group of a 3manifold, and to have a geometric interpretation of the maps appearing in the long exact sequence for symplectic instanton homology, together with vanishing criterions.
 Publication:

arXiv eprints
 Pub Date:
 October 2017
 DOI:
 10.48550/arXiv.1710.03872
 arXiv:
 arXiv:1710.03872
 Bibcode:
 2017arXiv171003872C
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Symplectic Geometry
 EPrint:
 37 pages, 11 figures. Proof of naturality thoroughly revised. To appear in Quantum Topology