1.2k citations
- Boston UniversityUS11 papers
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Showing 2007 · math.GTShow all
4 papers · 2 filters
math.GT2007
Order one invariants of planar curves
Tahl Nowik
We give a complete description of all order 1 invariants of planar curves.
math.GT2007
Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle
Joel Hass, Tahl Nowik
We present a sequence of diagrams of the unknot for which the minimum number of Reidemeister moves required to pass to the trivial diagram is quadratic with respect to the number o…
math.GT2007★ 2 cited
Order one invariants of spherical curves
Tahl Nowik
We give a complete description of all order 1 invariants of spherical curves. We also identify the subspaces of all J-invariants and S-invariants, and present two equalities satisf…
math.GT2007★ 1 cited
Invariants of Knot Diagrams
Joel Hass, Tahl Nowik
We construct a new order 1 invariant for knot diagrams. We use it to determine the minimal number of Reidemeister moves needed to pass between certain pairs of knot diagrams.