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A ZETA FUNCTION FOR FLOWS WITH L(−1,−1) TEMPLATEAL-Hashimi, Ghazwan Mohammed 01 December 2016 (has links) (PDF)
In this dissertation, we study the flows on R3 associated with a nonlinear system differential equation introduced by Clark Robinson in [46]. The periodic orbits are modeled by a semi-flow on the L(−1,−1) template. It is known that these are positive knots, but need not have positive braid presentations. Here we prove that they are fibered. We investigate their linking and we construct a zeta-function that counts periodic orbits according to their twisting. This extends work by M. Sullivan in [55], and [57].
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