2 citations · 4 across the 9 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.AG2023★ 1 cited
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…
math.AG2023★ 1 cited
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…
math.AG2023
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…