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0111 · Dec 201019922001200920172026
5 results for Thurston-Veech

The study finds all trace field degrees for Torelli group mappings.

problem Identifying all possible trace field degrees for Torelli group mappings.
method Using Thurston-Veech construction of pseudo-Anosov maps, and providing examples of stretch factors with specific algebraic degrees.
result All integers 1d3g31 \le d \le 3g-3 are trace field degrees for g2g \ge 2.

In this paper we are interested in the stratum H^{hyp}(4) of translation surfaces, which consists of pairs (M,ω), where M is a hyper-elliptic Riemann surface of genus 3, and ωis a holopmorphic 1-form on M having only one zero. We first show that every surface in this stratum can be decomposed into parallelograms follow…

2010-12-05abs ↗pdf ↗