2 citations · 2 across the 4 of their papers we have counts for
5 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…
Spin structures on perfect complexes
Nikolas Kuhn
We define spin structures on perfect complexes outside of characteristic two, generalizing the usual notion for vector bundles. We give an explicit local characterization of spin s…
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…
A blowup formula for virtual enumerative invariants on projective surfaces
Nikolas Kuhn, Yuuji Tanaka
We apply virtual localization to the problem of finding blowup formulae for virtual sheaf-theoretic invariants on a smooth projective surface. This leads to a general procedure tha…