C. Simpson

activity

19962026

most citedOn the classification of rank two representations of quasiprojective fundamental groups

64 citations · 473 across the 56 of their papers we have counts for

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Showing 2021 · math.AGShow all

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math.AG2021

Spectral networks and stability conditions for Fukaya categories with coefficients

Fabian Haiden, Ludmil Katzarkov, Carlos Simpson

Given a holomorphic family of Bridgeland stability conditions over a surface, we define a notion of spectral network which is an object in a Fukaya category of the surface with coe…

math.AG2021

The twistor geometry of parabolic structures in rank two

Carlos Simpson

Let $X$ be a quasi-projective curve, compactified to $(Y, D)$ with $X = Y - D$ . We construct a Deligne-Hitchin twistor space out of moduli spaces of framed $λ$ -connections of rank $2$ o…