Proves homological mirror symmetry equivalence between Fukaya categories of generic-microlocal-monodromy moduli and coherent sheaves on minimal resolutions of trivial-microlocal-monodromy moduli for rank-two local systems on the projective line.
Microsheaves from Hitchin fibers via Floer theory.arXiv:2108.13571
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Mirror symmetry for the Painlev\'e character varieties
Proves homological mirror symmetry equivalence between Fukaya categories of generic-microlocal-monodromy moduli and coherent sheaves on minimal resolutions of trivial-microlocal-monodromy moduli for rank-two local systems on the projective line.