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Out(F3) Index Realization

Published online by Cambridge University Press:  05 October 2015

CATHERINE PFAFF
CATHERINE PFAFF*
Affiliation:
Mathematics Department, UC Santa Barbara, Santa Barbara, CA 93106. e-mail: cpfaff@math.ucsb.edu
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Abstract

By proving precisely which singularity index lists arise from the pair of invariant foliations for a pseudo-Anosov surface homeomorphism, Masur and Smillie [MS93] determined a Teichmüller flow invariant stratification of the space of quadratic differentials. In this paper we determine an analog to the theorem for Out(F3). That is, we determine which index lists permitted by the [GJLL98] index sum inequality are achieved by ageometric fully irreducible outer automorphisms of the rank-3 free group.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 3 , November 2015 , pp. 445 - 458
Copyright
Copyright © Cambridge Philosophical Society 2015 

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