31 citations · 44 across the 8 of their papers we have counts for
12 papers
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{…
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…
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…
An embedding of skein algebras of surfaces into quantum tori from Dehn-Thurston coordinates
Renaud Detcherry, Ramanujan Santharoubane
We construct embeddings of Kauffman bracket skein algebras of surfaces (either closed or with boundary) into localized quantum tori using the action of the skein algebra on the ske…
Algebraic generators of the skein algebra of a surface
Ramanujan Santharoubane
Let be a surface with negative Euler characteristic, genus at least one and at most one boundary component. We prove that the skein algebra of over the field of rational fu…
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 $…
Irreducibility of quantum representations of mapping class groups with boundary
Thomas Koberda, Ramanujan Santharoubane
We prove that the Witten--Reshetikhin--Turaev quantum representations of mapping class groups are always irreducible in the case of surfaces equipped with colored…
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…
Action of on some kernel spaces coming from -TQFT
Ramanujan Santharoubane
For an even number, we study representations of the mapping class group of the -punctured sphere arising from -TQFT when all punctures are colored by the sam…
A representation theoretic characterization of simple closed curves on a surface
Thomas Koberda, Ramanujan Santharoubane
We produce a sequence of finite dimensional representations of the fundamental group of a closed surface where all simple closed curves act with finite order, but where ea…
Quotients of surface groups and homology of finite covers via quantum representations
Thomas Koberda, Ramanujan Santharoubane
We prove that for each sufficiently complicated orientable surface , there exists an infinite image linear representation of such that if is freely hom…
Limits of the quantum SO(3) representations for the one-holed torus
Ramanujan Santharoubane
For , we study a certain sequence of N-dimensional representations of the mapping class group of the one-holed torus arising from SO(3)-TQFT, and show tha…