2 citations · 4 across the 9 of their papers we have counts for
11 papers
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…
Categorical Foundations of Formalized Condensed Mathematics
Dagur Asgeirsson, Riccardo Brasca, Nikolas Kuhn +2
Condensed mathematics, developed by Clausen and Scholze over the last few years, proposes a generalization of topology with better categorical properties. It replaces the concept o…
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…
The Atiyah class on algebraic stacks
Nikolas Kuhn
We generalize Illusie's definition of the Atiyah class to complexes with quasi-coherent cohomology on arbitrary algebraic stacks. We show that this gives a global obstruction theor…
Degenerations of Sheaves on Fibered Surfaces
Nikolas Kuhn
We construct moduli stacks of stable sheaves for surfaces fibered over marked nodal curves by using expanded degenerations. These moduli stacks carry a virtual class and therefore…
The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces
Nikolas Kuhn, Oliver Leigh, Yuuji Tanaka
We prove a blow-up formula for the generating series of virtual -genera for moduli spaces of sheaves on projective surfaces, which is related to a conjectured formula for topo…
An explicit self-duality
Nikolas Kuhn, Devlin Mallory, Vaidehee Thatte +1
We provide an exposition of the canonical self-duality associated to a presentation of a finite, flat, complete intersection over a Noetherian ring, following work of Scheja and St…
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…
Finding Endomorphisms of Drinfeld modules
Nikolas Kuhn, Richard Pink
We give an effective algorithm to determine the endomorphism ring of a Drinfeld module, both over its field of definition and over a separable or algebraic closure thereof. Using p…