Thurston spine in a Teichm\"uller curve
Abstract
To study the Thurston spine Pg ⊂eq Tg, we construct a Teichm\"uller curve V ⊂eq Tg. Then we characterize V Pg. More specifically, we show it is a trivalent tree and is an equivariant deformation retract of V. Moreover, by our construction, a lot of essential loops in the Thurston spine, both reducible and pseudo-Anosov, are obtained.
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