Duality and invariants of representations of fundamental groups of 3-manifolds into PGL(3,C)
classification
🧮 math.GT
keywords
dualitymanifoldsunderapplicationblochconfigurationscoordinatescross-ratio
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We determine the explicit transformation under duality of generic configurations of four flags in $\PGL(3,\bC)$ in cross-ratio coordinates. As an application we prove invariance under duality of an invariant in the Bloch group obtained from decorated triangulations of 3-manifolds.
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