Cohomological Hall algebras and vertex algebras
arXiv:2110.14356
Abstract
The moduli stack of representations of a quiver, or coherent sheaves on a proper curve, carries two structures on its cohomology: a Hall algebra and braided vertex coalgebra. We show that they are compatible, by developing a formulation of abelian localisation which works in the derived/singular setting. An application of these techniques gives an explicit formula for the cohomological Hall algebra products.
arXiv comment84 pages
References in corpus (15)
- Triangulated categories of mixed motives
- Cohomological Hall algebras, vertex algebras and instantons
- The cohomological Hall algebra of a preprojective algebra
- Constructing quantum vertex algebras
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Enhanced six operations and base change theorem for higher Artin stacks
- Two-dimensional categorified Hall algebras
- Localization of virtual classes
- Equivariant geometry and the cohomology of the moduli space of curves
- The universal six-functor formalism
- Virtual fundamental classes of derived stacks I
- Quantum vertex algebras
- Bivariant theories in motivic stable homotopy
- Enhanced adic formalism and perverse t-structures for higher Artin stacks
- The homology of moduli stacks of complexes