Subhojoy Gupta

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math.GT2025

Simple loop conjecture for discrete representations in PSL $(2, R)$

Gianluca Faraco, Subhojoy Gupta

We show that the Simple Loop Conjecture holds for any representation $I ¨ : I ¨ _{1} (S) ⟶ PSL (2, R)$ that is discrete but not faithful. That is, we show…

math.GT2025

Meromorphic Projective Structures: Signed Spaces, Grafting and Monodromy

Spandan Ghosh, Subhojoy Gupta

A meromorphic quadratic differential on a compact Riemann surface defines a complex projective structure away from the poles via the Schwarzian equation. In this article we first p…

Simple loop conjecture for discrete representations in PSL(2,R)

Meromorphic Projective Structures: Signed Spaces, Grafting and Monodromy

Simple loop conjecture for discrete representations in PSL $(2, R)$