By Benson Farb,Dan Margalit
The research of the mapping type workforce Mod(S) is a classical subject that's experiencing a renaissance. It lies on the juncture of geometry, topology, and workforce thought. This booklet explains as many very important theorems, examples, and methods as attainable, fast and at once, whereas whilst giving complete information and retaining the textual content approximately self-contained. The booklet is acceptable for graduate students.
A Primer on Mapping type Groups starts via explaining the most group-theoretical homes of Mod(S), from finite new release by means of Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. alongside the way in which, primary gadgets and instruments are brought, corresponding to the Birman distinct series, the complicated of curves, the braid staff, the symplectic illustration, and the Torelli crew. The ebook then introduces Teichmüller area and its geometry, and makes use of the motion of Mod(S) on it to turn out the Nielsen-Thurston category of floor homeomorphisms. subject matters comprise the topology of the moduli house of Riemann surfaces, the relationship with floor bundles, pseudo-Anosov conception, and Thurston's method of the classification.
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Additional resources for A Primer on Mapping Class Groups (PMS-49) (Princeton Mathematical Series)
A Primer on Mapping Class Groups (PMS-49) (Princeton Mathematical Series) by Benson Farb,Dan Margalit