By John W. Morgan
This booklet relies on lectures given at Stanford collage in 2009. the aim of the lectures and of the ebook is to provide an introductory evaluate of ways to exploit Ricci movement and Ricci move with surgical procedure to set up the Poincare Conjecture and the extra normal Geometrization Conjecture for third-dimensional manifolds. lots of the fabric is geometric and analytic in nature; an important factor is knowing singularity improvement for third-dimensional Ricci flows and for third-dimensional Ricci flows with surgical procedure. This figuring out is essential for extending Ricci flows with surgical procedure in order that they are outlined for all confident time. as soon as this result's in position, one needs to examine the character of the time-slices because the time is going to infinity to be able to deduce the topological results. The aim of the authors is to provide the foremost geometric and analytic effects and topics of the topic with no weighing down the presentation with too many info. This publication could be learn as an advent to extra whole remedies of an identical fabric.
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