By Richard Evan Schwartz
This publication proves an analogue of William Thurston's celebrated hyperbolic Dehn surgical procedure theorem within the context of complicated hyperbolic discrete teams, after which derives major geometric results from it. the 1st is the development of enormous numbers of closed actual hyperbolic 3-manifolds which sure advanced hyperbolic orbifolds--the in simple terms identified examples of closed manifolds that concurrently have those different types of geometric constructions. the second one is an entire knowing of the constitution of advanced hyperbolic mirrored image triangle teams in circumstances the place the perspective is small. In an available and simple demeanour, Richard Evan Schwartz additionally provides a large number of worthwhile info on advanced hyperbolic geometry and discrete groups.
Schwartz depends upon simple proofs and avoids quotations of preexisting technical fabric up to attainable. as a result, this ebook will profit graduate scholars looking access into this rising zone of study, in addition to researchers in allied fields reminiscent of Kleinian teams and CR geometry.
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