Search Results - "Santharoubane, Ramanujan"

Quotients of surface groups and homology of finite covers via quantum representations by Koberda, Thomas, Santharoubane, Ramanujan

“…We prove that for each sufficiently complicated orientable surface S , there exists an infinite image linear representation ρ of π 1 ( S ) such that if γ ∈ π 1…”
Get full text

Action of M(0,2n) on some kernel spaces coming from SU (2)‐TQFT by Santharoubane, Ramanujan

“…For n an even number, we study representations of the mapping class group of the n‐punctured sphere arising from SU (2)‐TQFT when all punctures are colored by…”
Get full text

Compatible pants decomposition for $\mathrm{SL}_{2}(\mathbb{C})$ representations of surface groups by Detcherry, Renaud, Le Fils, Thomas, Santharoubane, Ramanujan

“…For any irreducible representation of a surface group into \mathrm{SL}_{2}(\mathbb{C}) , we show that there exists a pants decomposition where the restriction…”
Get full text

Algebraic generators of the skein algebra of a surface by Santharoubane, Ramanujan

“…Algebr. Geom. Topol. 24 (2024) 2571-2578 Let $\Sigma$ be a surface with negative Euler characteristic, genus at least one and at most one boundary component…”
Get full text

On the kernel of $\mathrm{SO}(3)$-Witten-Reshetikhin-Turaev quantum representations by Detcherry, Renaud, Santharoubane, Ramanujan

“…In this paper, we study the kernels of the $\mathrm{SO}(3)$-Witten-Reshetikhin-Turaev quantum representations $\rho_p$ of mapping class groups of closed…”
Get full text

An embedding of skein algebras of surfaces into quantum tori from Dehn-Thurston coordinates by Detcherry, Renaud, Santharoubane, Ramanujan

“…We construct embeddings of Kauffman bracket skein algebras of surfaces (either closed or with boundary) into localized quantum tori using the action of the…”
Get full text

Compatible pants decompositions for $\mathrm{SL}_2(\mathbb{C})$-representations of surface groups by Detcherry, Renaud, Fils, Thomas Le, Santharoubane, Ramanujan

“…For any irreducible representation of a surface group into $\mathrm{SL}_2(\mathbb{C})$, we show that there exists a pants decomposition where the restriction…”
Get full text

Action of $\mathrm{M}(0,2n)$ on some kernel spaces coming from $\mathrm{SU}(2)$-TQFT by Santharoubane, Ramanujan

“…For $n$ an even number, we study representations of the mapping class group of the $n$-punctured sphere arising from $\mathrm{SU}(2)$-TQFT when all punctures…”
Get full text

Irreducibility of quantum representations of mapping class groups with boundary by Koberda, Thomas, Santharoubane, Ramanujan

“…We prove that the Witten--Reshetikhin--Turaev $\mathrm{SU}(2)$ quantum representations of mapping class groups are always irreducible in the case of surfaces…”
Get full text

Asymptotics of quantum representations of surface groups by Marché, Julien, Santharoubane, Ramanujan

“…For a banded link $L$ in a surface times a circle, the Witten-Reshetikhin-Turaev invariants are topological invariants depending on a sequence of complex…”
Get full text

A representation theoretic characterization of simple closed curves on a surface by Koberda, Thomas, Santharoubane, Ramanujan

“…We produce a sequence of finite dimensional representations of the fundamental group $\pi_1(S)$ of a closed surface where all simple closed curves act with…”
Get full text

Quotients of surface groups and homology of finite covers via quantum representations by Koberda, Thomas, Santharoubane, Ramanujan

“…We prove that for each sufficiently complicated orientable surface $S$, there exists an infinite image linear representation $\rho$ of $\pi_1(S)$ such that if…”
Get full text

Limits of the quantum SO(3) representations for the one-holed torus by Santharoubane, Ramanujan

“…For $N \geq 2$, we study a certain sequence $(\rho_p^{(c_p)})$ of N-dimensional representations of the mapping class group of the one-holed torus arising from…”
Get full text

Representations of surface groups with finite mapping class group orbits by Biswas, Indranil, Koberda, Thomas, Mj, Mahan, Santharoubane, Ramanujan

“…Let $(S,\, \ast)$ be a closed oriented surface with a marked point, let $G$ be a fixed group, and let $\rho\colon\pi_1(S) \longrightarrow G$ be a…”
Get full text