Pierre Godfard

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20232026

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math.GT2026

On the density and surjectivity of $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations

Renaud Detcherry, Pierre Godfard, Ramanujan Santharoubane

In this paper, we establish several new fundamental properties of $SO (3)$ -quantum representations $ρ_{p,g,\underlineλ}\colon\mathrm{PMod} (Σ_{g,n})\longrightarrow \mathrm{…

math.GT2025

Rigidity of $SU (2)$ and $SO (3)$ quantum representations of mapping class groups at prime levels

Pierre Godfard

We prove the rigidity of Witten-Reshetikhin-Turaev $SU (2)$ and $SO (3)$ quantum representations of mapping class groups at all prime levels for closed surfaces of…

math.GT2024

Construction of Hodge structures on the $SO (3)$ modular functors

Pierre Godfard

We prove that $SO (3)$ modular functors in genus $0$ have geometric origin and support integral variations of Hodge structures for any odd level $r$ and $r$ -th root of unit…

math.GT2023

Rigidity of Fibonacci representations of mapping class groups

Pierre Godfard

We prove that level $5$ Witten-Reshetikhin-Turaev $SO (3)$ quantum representations, also known as the Fibonacci representations, of mapping class groups are locally rigid.…

On the density and surjectivity of SO(3)-Witten-Reshetikhin-Turaev quantum representations

Rigidity of SU(2) and SO(3) quantum representations of mapping class groups at prime levels

Construction of Hodge structures on the SO(3) modular functors

Rigidity of Fibonacci representations of mapping class groups

On the density and surjectivity of $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations

Rigidity of $SU (2)$ and $SO (3)$ quantum representations of mapping class groups at prime levels

Construction of Hodge structures on the $SO (3)$ modular functors