On the cohomological Hall algebra of the Kronecker quiver

DOI10.1090/conm/758/15236zbMath1455.14104arXiv1904.09224OpenAlexW3110046325MaRDI QIDQ4965246

Markus Reineke, Hans Franzen

Publication date: 26 February 2021

Published in: Representation Theory and Beyond (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09224

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Construction géométrique des générateurs de l'algèbre cohomologique de Hall du double d'un carquois
• The Hall algebra of a curve
• Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras
• Hall algebras and quantum groups
• Semistable Chow-Hall algebras of quivers and quantized Donaldson-Thomas invariants
• Positivity for Kac polynomials and DT-invariants of quivers.
• On cohomological Hall algebras of quivers: generators
• Cohomological Hall algebra of a symmetric quiver
• Localization in equivariant intersection theory and the Bott residue formula
• The cohomological Hall algebra of a preprojective algebra
• The Critical CoHA of a Quiver With Potential
• Cohomological Hall algebra of Higgs sheaves on a curve