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FOUNDATIONS OF THE COLORED JONES POLYNOMIAL OF SINGULAR KNOTS

  • Elhamdadi, Mohamed (Department of Mathematics University of South Florida) ;
  • Hajij, Mustafa (Department of Computer Science and Engineering University of South Florida)
  • Received : 2017.05.04
  • Accepted : 2017.11.03
  • Published : 2018.05.31
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Abstract

This article gives the foundations of the colored Jones polynomial for singular knots. We extend Masbum and Vogel's algorithm [26] to compute the colored Jones polynomial for any singular knot. We also introduce the tail of the colored Jones polynomial of singular knots and use its stability properties to prove a false theta function identity that goes back to Ramanujan.

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References

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