6 papers · 1 filter
Wall-crossing for equivariant DT4 invariants
Arkadij Bojko, Nikolas Kuhn, Henry Liu +1
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…
Wall-crossing for invariants of equivariant 3CY categories
Nikolas Kuhn, Henry Liu, Felix Thimm
We provide a wall-crossing framework for operational enumerative invariants of equivariant 3-Calabi--Yau categories arising from virtual cycles. The strategy follows ideas of Joyce…
Hitchin systems and their quantization
Pavel Etingof, Henry Liu
This is an expanded version of the notes by the second author of the lectures on Hitchin systems and their quantization given by the first author at the Beijing Summer Workshop in…
Invariance of elliptic genus under wall-crossing
Henry Liu
Wall-crossing formulas for various flavors of elliptic genus can be obtained using master spaces. We give a topological criterion which implies that such wall-crossing formulas are…
The 3-fold K-theoretic DT/PT vertex correspondence holds
Nikolas Kuhn, Henry Liu, Felix Thimm
We prove the 3-fold DT/PT correspondence for K-theoretic vertices via wall-crossing techniques. We provide two different setups, following Mochizuki and following Joyce; both reduc…
Semistable refined Vafa-Witten invariants
Henry Liu
For any smooth complex projective surface , we construct semistable refined Vafa-Witten invariants of which prove the main conjecture of arXiv:1810.00078. This is done by ex…