M. Renzi

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math.GT2025

Quantum Invariants of Ribbon Surfaces in $4$ -Dimensional $2$ -Handlebodies

Anna Beliakova, Marco De Renzi, Quentin Faes

We use unimodular ribbon categories to construct quantum invariants of ribbon surfaces in $4$ -dimensional $2$ -handlebodies up to $1$ -isotopy. In the process, we recover invariants…

math.GT2025

Algebraic Presentation of $4$ -Dimensional $2$ -Handlebodies and $3$ -Dimensional Cobordisms

Anna Beliakova, Ivelina Bobtcheva, Marco De Renzi +1

In this paper, we give a new direct proof of a result by Bobtcheva and Piergallini that provides finite algebraic presentations of two categories, denoted $3 Cob$ and $4\ma…

math.GT2024

On Integrality of Non-Semisimple Quantum Representations of Mapping Class Groups

Marco De Renzi, Jules Martel

For a root of unity $I^¶$ of odd prime order, we restrict coefficients of non-semisimple quantum representations of mapping class groups associated with the small quantum group $\ma…

Quantum Invariants of Ribbon Surfaces in 4-Dimensional 2-Handlebodies

Algebraic Presentation of 4-Dimensional 2-Handlebodies and 3-Dimensional Cobordisms

On Integrality of Non-Semisimple Quantum Representations of Mapping Class Groups

Quantum Invariants of Ribbon Surfaces in $4$ -Dimensional $2$ -Handlebodies

Algebraic Presentation of $4$ -Dimensional $2$ -Handlebodies and $3$ -Dimensional Cobordisms