Dan Rutherford

activity

20052026

most citedGenerating families and Legendrian contact homology in the standard contact space

50 citations · 169 across the 22 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.SG2019★ 7 cited

Sheaves via augmentations of Legendrian surfaces

Dan Rutherford, Michael G. Sullivan

Given an augmentation for a Legendrian surface in a $1$ -jet space, $Λ \subset J^{1} (M)$ , we explicitly construct an object, $F \in S h_{Λ}$ , of the (derived) category from arXi…

math.SG2019

Legendrian DGA Representations and the Colored Kauffman Polynomial

Justin Murray, Dan Rutherford

For any Legendrian knot $K$ in standard contact $R^{3}$ we relate counts of ungraded ( $1$ -graded) representations of the Legendrian contact homology DG-algebra $(\mathcal{A…

math.SG2019★ 4 cited

Functorial LCH for immersed Lagrangian cobordisms

Yu Pan, Dan Rutherford

For $1$ -dimensional Legendrian submanifolds of $1$ -jet spaces, we extend the functorality of the Legendrian contact homology DG-algebra (DGA) from embedded exact Lagrangian cobordi…