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arXiv · 2608.23515

Wall-crossing for equivariant DT4 invariants

Arkadij Bojko·Nikolas Kuhn·Henry Liu·Felix Thimm
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Abstract

We prove the wall-crossing formula conjectured by Gross--Joyce--Tanaka for equivariant enumerative invariants of CY4 categories equipped with framing functors. We also establish a version for stable pairs with fixed-determinant obstruction theories, as used in earlier applications by the first-named author. The main technical ingredient, which we develop in this work, is a construction of well-behaved CY4 pullback virtual classes using Jouanolou devices.

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Arkadij Bojko, Nikolas Kuhn, Henry Liu, Felix Thimm. 2026-08-24. Wall-crossing for equivariant DT4 invariants. https://arxiv.org/abs/2608.23515

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