Christopher Cornwell

activity

20102024

most citedObstructions to Lagrangian concordance

27 citations · 61 across the 8 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.GT2014

Berge duals and universally tight contact structures

Christopher R. Cornwell

Dehn surgery on a knot determines a dual knot in the surgered manifold, the core of the filling torus. We consider duals of knots in $S^{3}$ that have a lens space surgery. Each dual…

math.SG2014★ 27 cited

Obstructions to Lagrangian concordance

Christopher R. Cornwell, Lenhard Ng, Steven Sivek

We investigate the question of the existence of a Lagrangian concordance between two Legendrian knots in $R^{3}$ . In particular, we give obstructions to a concordance from a…

math.GT2014★ 6 cited

Augmentation Rank of Satellites with Braid Pattern

Christopher R. Cornwell, David R. Hemminger

Given a knot $K$ in $S^{3}$ , a question raised by Cappell and Shaneson asks if the meridional rank of $K$ equals the bridge number of $K$ . Using augmentations in knot contact homolog…