On the moduli spaces of framed logarithmic connections on a Riemann surface

TL;DR

This paper explores the structure of moduli spaces of logarithmic connections with framings on pointed Riemann surfaces, providing insights into their geometric and algebraic properties.

Contribution

It offers new descriptions and results on the moduli space of framed logarithmic connections on n-pointed Riemann surfaces.

Findings

Characterization of moduli space structure

Results on geometric properties of the moduli space

Insights into algebraic aspects of framed connections

Abstract

We describe some results on moduli space of logarithmic connections equipped with framings on a $n$-pointed compact Riemann surface.