Spherical CR Dehn surgeries
نویسندگان
چکیده
منابع مشابه
Spherical CR Geometry and Dehn Surgery,
There are several ways to generalise the hyperbolic plane and its isometry group to objects in higher dimensions. Perhaps the most familiar is (real) hyperbolic three space, popularised by the work of Thurston [14]. The Poincaré disc and half plane models of the hyperbolic plane naturally come with a complex structure and it is natural to generalise them to complex hyperbolic space in higher co...
متن کاملSpherical CR geometry and Dehn surgery , by Richard
The ideas in this book revolve around a central theorem, the horotube surgery theorem, which is mainly of interest to specialists in complex hyperbolic geometry; see Section 6 below. This book is the culmination of several important papers by Schwartz in this area, which we describe in Section 4 below. As well as the main theorem, this book contains background material and applications. It may ...
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If we perform a non-trivial Dehn surgery on a hyperbolic knot in the 3-sphere, the result is usually a hyperbolic 3-manifold. However, there are exceptions: there are hyperbolic knots with surgeries that give lens spaces [1], small Seifert fiber spaces [2], [5], [7], [20], and toroidal manifolds, that is, manifolds containing (embedded) incompressible tori [6], [7]. In particular, Eudave-Muñoz ...
متن کاملDehn surgeries that yield fibred 3 - manifolds
We study Dehn surgeries on null-homotopic knots that yield fibred 3-manifolds when an additional (but natural) homological restriction is imposed. The major tool used is Gabai’s theory of sutured manifold decomposition. Such surgeries are negative examples to a question of Michel Boileau. Another result we will prove is about surgeries which reduce the Thurston norm of a fibred manifold.
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We show that if a surgery on a knot in a product sutured manifold yields the same product sutured manifold, then this knot is a 0or 1-crossing knot. The proof uses techniques from sutured manifold theory.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2016
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2016.284.257