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G^3 = Geometric Group Theory on the Gulf Coast
March 15-17, 2002
The University of New Orleans and the University of South Alabama
New Orleans, LA, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev

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A new proof of a theorem of McMullen
by
Peter Brinkmann
University of Illinois at Urbana-Champaign

We present a sequence of pseudo-Anosov maps \phik: Sk --> Sk of surfaces of genus 2k with one puncture whose growth rates converge to one. This answers a question of Birman. McMullen has previously shown that such a sequence exists.

This sequence has a number of other interesting properties, e.g., all the maps \phik are monodromies of certain fibered knots.

Paper reference: arXiv:math.GT/0309411

Date received: March 11, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caja-12.