## New techniques in calculation of sutured instanton Floer homology: by Heegaard diagrams, Euler characteristics, and Dehn surgery formulae

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## Abstract

Kronheimer-Mrowka conjectured that sutured instanton Floer homology

The first technique is based on Heegaard diagrams of balanced sutured manifolds, from which we obtain an upper bound on the dimension of

The second technique is based on the identification of Euler characteristics of

The third technique relates