Pabitra Barman

activity

20242026

collaborators

3 papers

math.GT2026

Entropy and domination for quasi-Hitchin representations

Pabitra Barman, Subhojoy Gupta

Let $S$ be a closed oriented surface of genus $g \geq 2$ . We consider an $n$ -pleated representation $ρ : π_{1} (S) \to PSL_{n} (C)$ obtained by bending a Hitchin represen…

math.GT2025

On the domination of surface-group representations in $PU (2, 1)$

Pabitra Barman, Krishnendu Gongopadhyay

This article explores surface-group representations into the complex hyperbolic group $PU (2, 1)$ and presents domination results for a special class of representations call…

math.GT2024

Dominating surface-group representations via Fock-Goncharov coordinates

Pabitra Barman, Subhojoy Gupta

Let $S$ be a punctured surface of negative Euler characteristic. We show that given a generic representation $ρ : π_{1} (S) \to PSL_{n} (C)$ , there exists a posit…

Entropy and domination for quasi-Hitchin representations

On the domination of surface-group representations in PU(2,1)

Dominating surface-group representations via Fock-Goncharov coordinates

On the domination of surface-group representations in $PU (2, 1)$