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We show that unrolled quantum groups at odd roots of unity give rise torelative modular categories. These are the main building blocks for theconstruction of 1+1+1-TQFTs extending CGP invariants, which are non-semisimplequantum invariants of closed 3-manifolds decorated with ribbon graphs andcohomology classes. When we consider the zero cohomology class, these quantuminvariants are shown to coincide with the renormalized Hennings invariantscoming from the corresponding small quantum groups.

Non-Semisimple Quantum Invariants and TQFTs from Small and Unrolled Quantum Goups