23 citations · 31 across the 3 of their papers we have counts for
4 papers · 1 filter
Derived algebraic cobordism
Parker Lowrey, Timo Schürg
We construct a cohomology theory using quasi-smooth derived schemes as generators and an analogue of the bordism relation using derived fibre products as relations. This theory has…
Grothendieck-Riemann-Roch for derived schemes
Parker Lowrey, Timo Schürg
We define bivariant algebraic K-theory and bivariant derived Chow on the homotopy category of derived schemes over a smooth base. The orientation on the latter corresponds to virtu…
The moduli stack and motivic Hall algebra for the bounded derived category
Parker E. Lowrey
We give an alternate formulation of pseudo-coherence over an arbitrary derived stack X. The full subcategory of pseudo-coherent objects forms a stable sub-infinity-category of the…
Interactions between autoequivalences, stability conditions, and moduli problems
Parker E. Lowrey
We begin by discussing various ways autoequivalences and stability conditions associated to triangulated categories can interact. Once an appropriate definition of compatibility is…