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math.GT2025
Density and unitarity of the Burau representation from a non-semisimple TQFT
Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand +1
We study the density of the Burau representation from the perspective of a non-semisimple TQFT at a fourth root of unity. This gives a TQFT construction of Squier's Hermitian form…
math.GT2025
A quantum algorithm for Khovanov homology
Alexander Schmidhuber, Michele Reilly, Paolo Zanardi +2
Khovanov homology is a topological knot invariant that categorifies the Jones polynomial, recognizes the unknot, and is conjectured to appear as an observable in supersymmetri…