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Sutured instanton homology and Heegaard diagrams
John A. Baldwin, Zhenkun Li, Fan Ye
Journal:

Compositio Mathematica / Volume 159 / Issue 9 / September 2023

Published online by Cambridge University Press:

28 July 2023, pp. 1898-1915

Print publication:

September 2023
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Suppose $\mathcal {H}$ is an admissible Heegaard diagram for a balanced sutured manifold $(M,\gamma )$. We prove that the number of generators of the associated sutured Heegaard Floer complex is an upper bound on the dimension of the sutured instanton homology $\mathit {SHI}(M,\gamma )$. It follows, in particular, that strong L-spaces are instanton L-spaces.