Complexity of surgery manifolds and Cheeger-Gromov invariants
classification
🧮 math.GT
keywords
complexitymanifoldscheeger-gromovinvariantssurgeryapplicationarbitrarilybounds
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We present new lower bounds on the complexity of Dehn surgery manifolds of knots, using our recent result on the Cheeger-Gromov rho invariants and triangulations. As an application, we give explicit examples of closed hyperbolic 3-manifolds with fixed first homology for which the gap between the Gromov norm and the complexity is arbitrarily large.
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