Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property

TL;DR

This paper reformulates Donaldson-Thomas theory using Frobenius type and CV-structures, proving a convergence result relevant to triangulated categories and discussing applications to physical field theory.

Contribution

It introduces an abstract framework for Frobenius type and CV-structures in Donaldson-Thomas theory and establishes a convergence property with implications for triangulated categories.

Findings

Rephrased Donaldson-Thomas results in terms of Frobenius and CV-structures

Proved a convergence theorem applicable to triangulated categories

Discussed potential applications in physical field theory

Abstract

We rephrase some well-known results in Donaldson-Thomas theory in terms of (formal families of) Frobenius type and CV-structures on a vector bundle in the sense of Hertling. We study these structures in an abstract setting, and prove a convergence result which is relevant to the case of triangulated categories. An application to physical field theory is also briefly discussed.