A remark on the B-model Comparison of Hodge structures

TL;DR

This paper presents a comparison theorem for B-model variation of semi-infinite Hodge structures, a result known among experts but formally documented here to facilitate future research in B-model categorical invariants.

Contribution

It formally states a folklore comparison theorem for B-model semi-infinite Hodge structures, aiding future studies in categorical enumerative invariants.

Findings

Comparison theorem for B-model Hodge structures recorded

Facilitates future research in B-model invariants

Clarifies a folklore result in the field

Abstract

In this note we record a comparison theorem on the B-model variation of semi-infinite Hodge structures. This result is considered a folklore theorem by experts in the field. We only take this opportunity to write it down. Our motivation is to apply it in the study of B-model categorical enumerative invariants.