Symplectic instanton homology: naturality, and maps from cobordisms

  • Guillem Cazassus

    Indiana University, Bloomington, USA
Symplectic instanton homology: naturality, and maps from cobordisms cover

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Abstract

We prove that Manolescu and Woodward’s symplectic instanton homology, and its twisted versions, are natural; and definemaps associated to four dimensional cobordisms within this theory.

This allows one to define representations of the mapping class group, the fundamental group and the first cohomology group with coefficients of a 3-manifold. We also provide a geometric interpretation of the maps appearing in the long exact sequence for symplectic instanton homology, together with vanishing criterions.

Cite this article

Guillem Cazassus, Symplectic instanton homology: naturality, and maps from cobordisms. Quantum Topol. 10 (2019), no. 4, pp. 677–722

DOI 10.4171/QT/129