AbstractIf C is a smooth projective complex curve, the nonabelian Hodge correspondence gives adiffeomorphism between the coarse moduli space of degree d rank r semistable Higgs bundles onC, and r-dimensional d-twisted representations of the fundamental group of the underlying Riemannsurface of C. lf r and d are not coprime, there are strictly semistables with nontrivial stabilizers, andit perha...
Abstract:The Maulik-Okounkov (MO) Lie algebra associated to a quiver Q controls the R-matrix formalism developed by Maulik and Okounkov in the context of (quantum) cohomology of Nakajima quiver varieties. On the other hand, the BPS Lie algebra originates from cohomological DT theory, and in particular from the theory of cohomological Hall algebras associated to 3 Calabi-Yau categories. In this...