Conjecture on even pretzel knots with maximal nonorientable concordance genus
Conjecture on even pretzel knots with maximal nonorientable concordance genus
Let , and let an even -stranded pretzel knot be a pretzel knot with even parameters in the sense used for pretzel knots. Write for the nonorientable concordance genus of . Pretzel-knot concordance genus conjecture. For every there exist infinitely many even -stranded pretzel knots with
The preceding results establish the assertion for and using rational Witt spans; the conjecture asks for analogous infinite families for every number of strands at least three.
Sources & referencesView supporting material
Primary source
Stanislav Jabuka, “The concordance crosscap number and rational Witt span of a knot”, arXiv:2012.14801 (2020).
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.