Anomaly Flow II: Estimates and Long-time Existence for the Coupled Flow
Caleb Suan
Abstract
In this follow-up to Sua25, we extend the results to the coupled anomaly flow which incorporates the evolution of a Hermitian metric on a holomorphic vector bundle over a compact complex 3-fold with general slope parameter α'. This yields a similar sufficient smallness condition on the slope parameter α' in order to extend the flow on [0, τ) to [0, τ+ ε). We also augment the argument of Sua25 slightly to fix the peculiarity of the units in the condition for α' for the k = 1 case.
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