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20162026
most citedRepresentations of surface groups with finite mapping class group orbits

4 citations · 4 across the 3 of their papers we have counts for

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math.GT2026

On the density and surjectivity of -Witten-Reshetikhin-Turaev quantum representations

Renaud Detcherry, Pierre Godfard, Ramanujan Santharoubane

In this paper, we establish several new fundamental properties of -quantum representations $ρ_{p,g,\underlineλ}\colon\mathrm{PMod} (Σ_{g,n})\longrightarrow \mathrm{…

math.GT2023

On the kernel of -Witten-Reshetikhin-Turaev quantum representations

Renaud Detcherry, Ramanujan Santharoubane

In this paper, we study the kernels of the -Witten-Reshetikhin-Turaev quantum representations of mapping class groups of closed orientable surfaces of g…

math.GT2022

Compatible pants decompositions for -representations of surface groups

Renaud Detcherry, Thomas Le Fils, Ramanujan Santharoubane

For any irreducible representation of a surface group into , we show that there exists a pants decomposition where the restriction to any pair of pants i…

math.GT20174 cited

Representations of surface groups with finite mapping class group orbits

Indranil Biswas, Thomas Koberda, Mahan Mj +1

Let be a closed oriented surface with a marked point, let be a fixed group, and let be a representation such that the orbit of $…

math.GT2016

Asymptotics of quantum representations of surface groups

Julien Marché, Ramanujan Santharoubane

For a banded link in a surface times a circle, the Witten-Reshetikhin-Turaev invariants are topological invariants depending on a sequence of complex -th roots of unity $(A…