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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"alexander polynomial off knock"" "subject:"alexander polynomial oof knock""

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A ZETA FUNCTION FOR FLOWS WITH L(−1,−1) TEMPLATE

AL-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].
Alexander polynomial of knots
Fibered Knots
Positive knots and positive braids
Smale Flows
Zeta function

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