We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO_0(4, 1). Here rigidity means that any discrete and faithful representation in SO_0(4, 1) is conjugate to the holonomy representation in SO_0(3, 1). We also show local rigidity for almost all Dehn fillings.
Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots / S. Francaviglia; J. Porti. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - STAMPA. - 238(2):(2008), pp. 249-274. [10.2140/pjm.2008.238.249]
Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots.
FRANCAVIGLIA, STEFANO;
2008
Abstract
We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO_0(4, 1). Here rigidity means that any discrete and faithful representation in SO_0(4, 1) is conjugate to the holonomy representation in SO_0(3, 1). We also show local rigidity for almost all Dehn fillings.File in questo prodotto:
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