Abstract
Consider a group G and an epimorphism u0 V G→ Z inducing a splitting of G as a semidirect product ker(u0)Z with ker(u0) a finitely generated free group and ϵOut ker (u 0)representable by an expanding irreducible train track map. Building on our earlier work [DKL], in which we realized G as π1(X) for an Eilenberg-MacLane 2-complex X equipped with a semiflow , and inspired by McMullen's Teichmüller polynomial for fibered hyperbolic 3-manifolds, we construct a polynomial invariant mϵ ZTH1(G;Z)=torsionU for (X,) and investigate its properties [EQUATION PRESENTED].
Original language | English (US) |
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Pages (from-to) | 3253-3353 |
Number of pages | 101 |
Journal | Journal of the European Mathematical Society |
Volume | 19 |
Issue number | 11 |
DOIs | |
State | Published - 2017 |
Keywords
- BNS-Invariant
- Free-By-Cyclic groups
- Stretch Factors
- Train Track Maps
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics