arXiv subjects

Ofer Ron

Publications and source records attributed to Ofer Ron.

2 recordsLinked to original sources

arXiv2005

On Habiro's cyclotomic expansions of the Ohtsuki invariant

We give a self-contained treatment of Le and Habiro's approach to the Jones function of a knot and Habiro's cyclotomic form of the Ohtsuki invariant for manifolds obtained by surgery around a knot. On the way we reproduce a state sum formula of Garoufalidis and Le for the colored Jones function of a knot. As a corollary, we obtain bounds on the growth of coefficients in the Ohtsuki series for manifolds obtained by surgery around a knot, which support the slope conjecture of Jacoby and the first author.

math.GT↗

arXiv2003

A Correction to "Groups of Ribbon Knots" by Ka Yi Ng

This paper was withdrawn by the author. The appearance of an author-written addendum [3] to the paper [2] made our correction note [1] to that paper superfluous and hence it is no longer available here. [1] Dror Bar-Natan and Ofer Ron, A Correction to "Groups of Ribbon Knots" by Ka Yi Ng, no longer available. [2] Ka Yi Ng, Groups of Ribbon Knots, Topology 37 (1998) 441-458. [3] Ka Yi Ng, Addendum to "Groups of Ribbon Knots", arXiv:math.GT/0310074.

math.GT↗