eTextbook: A Primer on Mapping Class Groups (PMS-49)

Book Jacket Image

List Price 1: $75.00

eTextbook Purchase: $60.00

You save $15.00

Are you a school looking to buy multiple copies of this book?

  • Free Book Promotion

    For a limited time, this book is eligible for free.

    Click here to redeem the Facebook Offer

    Author(s): Farb, Benson; Margalit, Dan

    ISBN 10: 0691147949. See all ISBN's

    ISBN 13: 9780691147949

    Edition:

    Publisher: Princeton University Press

    This is an eTextbook Learn More

    Description:

    The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students.

    A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

    All ISBN's for this title:

    ISBN 10: 0691147949, ISBN 13: 9780691147949, eISBN 10: 1400839041, eISBN 13: 9781400839049

    1. List price can refer to either the digital or print list price, whichever is available to Kno.
  • Cool Product Features

    Kno In Action

    Search

    Journal

    Flashcards

    Kno Me

    Smart Links