motivic Hall algebra

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:application gptkb:Donaldson-Thomas_invariants
representation theory
algebraic stacks
gptkbp:defines an algebra constructed from the stack of objects in an abelian category, using motivic integration
gptkbp:field gptkb:mathematics
gptkbp:generalizes classical Hall algebra
gptkbp:hasSubfield gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label motivic Hall algebra
gptkbp:introduced gptkb:Maxim_Kontsevich
Yan Soibelman
gptkbp:introducedIn 2008
gptkbp:relatedTo gptkb:motivic_integration
gptkb:Hall_algebra
moduli spaces
quiver representations
cohomological Hall algebra
gptkbp:usedIn enumerative geometry
wall-crossing formulas
gptkbp:bfsParent gptkb:motivic_Donaldson–Thomas_invariants
gptkbp:bfsLayer 7