4 papers
On a conjecture of Simpson
Panagiotis Dimakis, Sebastian Schulz
On a compact Riemann surface of genus , equipped with a complex vector bundle of rank and degree zero let be the moduli space of Higgs bundles. adm…
The conformal limit for Nakajima quiver varieties
Sotiria Chatzimarkou, Panagiotis Dimakis
Inspired by Gaiotto's conformal limit construction for Higgs bundles we define and study a conformal limit construction for Nakajima quiver varieties. We prove that the conformal l…
Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections
Panagiotis Dimakis, Duong Dinh, Shengjing Xu
On a compact connected Riemann surface of genus at least , we construct Lagrangian correspondences between moduli spaces of rank- Higgs bundles (respectively, holomorphic…
Asymptotic geometry at infinity of quiver varieties
Panagiotis Dimakis, Frédéric Rochon
Using an approach developed by Melrose to study the geometry at infinity of the Nakajima metric on the reduced Hilbert scheme of points on , we show that the Nakajima…