Quiver varieties and tensor products, II

Abstract

We define a family of homomorphisms on a collection of convolution algebras associated with quiver varieties, which gives a kind of coproduct on the Yangian associated with a symmetric Kac-Moody Lie algebra. We study its property using perverse sheaves

27 pages, to appear for the proceeding of the workshop `Symmetries, Integrable systems and Representations';v2. correction on description of IC sheaves associated with nontrivial local systems

References in corpus (3)

• Quantum Groups and Quantum Cohomology
• Quiver Varieties and Branching
• Geometric construction of representations of affine algebras

Cited by in corpus (7)

• Coproduct for the Yangian of an affine Kac-Moody algebra
• The cohomological Hall algebra of a preprojective algebra
• The $R$-matrix presentation for the Yangian of a simple Lie algebra
• Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains
• On a theorem of Braden
• Defects and type D relativistic Toda lattice for some 5d gauge theories
• Kazhdan-Lusztig conjecture via Zastava spaces