P. Dimakis

activity

20182026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.DG2024

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 $C^{2}$ , we show that the Nakajima…

math.DG2024

On a conjecture of Simpson

Panagiotis Dimakis, Sebastian Schulz

On a compact Riemann surface $Σ$ of genus $g \geq 2$ , equipped with a complex vector bundle $E$ of rank $2$ and degree zero let $M_{H}$ be the moduli space of Higgs bundles. $M_{H}$ admi…

math.DG2024

The moduli space of solutions to the Extended Bogomolny equations on $Σ \times R_{+}$

Panagiotis Dimakis

We study moduli spaces of solutions to the extended Bogomolny equations on $Σ \times R_{+, y}$ with gauge group $SL (2, C)$ satisfying the generalized…

Asymptotic geometry at infinity of quiver varieties

On a conjecture of Simpson

The moduli space of solutions to the Extended Bogomolny equations on Σ×R+​

The moduli space of solutions to the Extended Bogomolny equations on $Σ \times R_{+}$