Logarithmic knot invariants arising from restricted quantum groups

Abstract

We construct knot invariants from the radical part of projective modules of restricted quantum groups. We also show a relation between these invariants and the colored Alexander invariants.

9 pages, 2 figures

References in corpus (2)

• Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
• The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces