Abstract：

Based on [2204.02997] and [1706.09977], we are going to review the construction of holomorphic-topological (HT) Chern-Simons-Matter theories on 3-manifolds with transverse holomorphic foliation (THF) via BV-BRST formalism with short brief introduction. We introduce twisted (super)fields for non-supersymmetric CSM and generalize them to HT-twisted N=2 CSM theories.