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 2021Show all

2 papers · 1 filter

math.SG2021

Augmented Legendrian cobordism in $J^{1} S^{1}$

Yu Pan, Dan Rutherford

We consider Legendrian links and tangles in $J^{1} S^{1}$ and $J^{1} [0, 1]$ equipped with Morse complex families over a field $F$ and classify them up to Legendrian cobordism. Whe…

math.SG2021

Non-fillable augmentations of twist knots

Honghao Gao, Dan Rutherford

We establish new examples of augmentations of Legendrian twist knots that cannot be induced by orientable Lagrangian fillings. To do so, we use a version of the Seidel-Ekholm-Dimit…

Augmented Legendrian cobordism in J1S1

Non-fillable augmentations of twist knots

Augmented Legendrian cobordism in $J^{1} S^{1}$