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

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.