Thurston W. P.  Geometry and topology of 3manifolds

Название: 
Geometry and topology of 3manifolds 
Автор: 
Thurston W. P. 
Категория: 
Математика

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Книга 
Дата: 
30.12.2008 22:55:40 
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These notes (through p. 9.80) are based on my course at Princeton in 197879. Large portions were written by Bill Floyd and Steve Kerckhoff. Chapter 7, by John Milnor, is based on a lecture he gave in my course; the ghostwriter was Steve Kerckhoff. The notes are projected to continue at least through the next academic year. The intent is to describe the very strong connection between geometry and lowdimensional topology in a way which will be useful and accessible (with some effort) to graduate students and mathematicians working in related fields, particularly 3manifolds and Kleinian groups.
Much of the material or technique is new, and more of it was new to me. As a consequence, I did not always know where I was going, and the discussion often tends to wanter. The countryside is scenic, however, and it is fun to tramp around if you keep your eyes alert and don't get lost. The tendency to meander rather than to follow the quickest linear route is especially pronounced in chapters 8 and 9, where I only gradually saw the usefulness of "train tracks" and the value of mapping out some global information about the structure of the set of simple geodesic on surfaces.
I would be grateful to hear any suggestions or corrections from readers, since changes are fairly easy to make at this stage. In particular, bibliographical information is missing in many places, and I would like to solicit references (perhaps in the form of preprints) and historical information. 
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