The z-Parity Alexander polynomial span conjecture for virtual knots
The z-Parity Alexander polynomial span conjecture for virtual knots
Let be a virtual knot. Let be the minimum number of real (non-virtual) crossings in any diagram of , and let and be, respectively, the highest and lowest powers of appearing in the z-Parity Alexander Polynomial of .
z-Parity Alexander polynomial span conjecture. The exponents satisfy
The authors state that they verified this conjecture computationally for virtual knots with fewer than real crossings. Its general status is not established in the supplied text.
Sources & referencesView supporting material
Primary source
Aaron Kaestner and Louis H. Kauffman, “Parity Biquandles”, arXiv:1103.2825 (2011).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.