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Using the exact formula for the A-twisted correlation functions of the twodimensional $\mathcal{N}=(2,2)$ gauged linear sigma model, we reconsider thecomputation of the B-model Yukawa couplings of the local toric Calabi-Yauvarieties. Our analysis is based on an exact result that has been evaluatedfrom the supersymmetric localization technique and careful treatment of itsapplication. We provide a detailed description of a procedure to investigatethe local B-model Yukawa couplings and also test our prescription by comparingthe results with known expressions evaluated from the local mirror symmetryapproach. In particular, we find that the ambiguities of classical intersectionnumbers of a certain class of local toric Calabi-Yau varieties discoveredpreviously can be interpreted as degrees of freedom of the twisted massdeformations.

Local B-model Yukawa couplings from A-twisted correlators