# Instanton Floer homology, sutures, and Euler characteristics

@inproceedings{Li2021InstantonFH, title={Instanton Floer homology, sutures, and Euler characteristics}, author={Zhenkun Li and Fan Ye}, year={2021} }

This is a companion paper to an earlier work of the authors. In this paper, we provide an axiomatic definition of Floer homology for balanced sutured manifolds and prove that the graded Euler characteristic χgr of this homology is fully determined by the axioms we proposed. As a result, we conclude that χgrpSHIpM,γqq “ χgrpSFHpM,γqq for any balanced sutured manifold pM,γq. In particular, for any link L in S3, the Euler characteristic χgrpKHIpS, Lqq recovers the multi-variable Alexander…

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