Atiyah–Floer type conjectures for cyclic Cerf decompositions
Let [Y]=[Y01]∘⋯∘[Y(k−1)k][Y]=[Y_{01}]\circ\cdots\circ[Y_{(k-1)k}][Y]=[Y01]∘⋯∘[Y(k−1)k] be a Cerf decomposition of a closed 333-manifold YYY into simple cobordisms Yi(i+1)Y_{i(i+1)}Yi(i+1), and let LYi(i+1)L_{Y_{i(i+1)}}LYi(i+1) denote the associa…