13 citations · 40 across the 9 of their papers we have counts for
10 papers
On Ruling polynomials of Legendrian links
Orsola Capovilla-Searle, Yu Pan
The ruling polynomial is a Legendrian invariant that is closely related to the augmentation variety of the Legendrian. We characterize all graded and ungraded ruling polynomials, a…
The global solution of the minimal surface flow and translating surfaces
Li Ma, Yuxin Pan
In this paper, we study evolved surfaces over convex planar domains which are evolving by the minimal surface flow He…
Obstructions to reversing Lagrangian surgery in Lagrangian fillings
Orsola Capovilla-Searle, Noémie Legout, Maÿlis Limouzineau +3
Given an immersed, Maslov-, exact Lagrangian filling of a Legendrian knot, if the filling has a vanishing index and action double point, then through Lagrangian surgery it is po…
Augmented Legendrian cobordism in
Yu Pan, Dan Rutherford
We consider Legendrian links and tangles in and equipped with Morse complex families over a field and classify them up to Legendrian cobordism. Whe…
Constructions of Lagrangian cobordisms
Sarah Blackwell, Noémie Legout, Caitlin Leverson +6
Lagrangian cobordisms between Legendrian knots arise in Symplectic Field Theory and impose an interesting and not well-understood relation on Legendrian knots. There are some known…
Augmentations and immersed Lagrangian fillings
Yu Pan, Dan Rutherford
For a Legendrian link with or , immersed exact Lagrangian fillings $L \subset \mbox{Symp}(J^1M) \cong T^*(\mathbb{R}_{>0} \times M)$ of ca…
Functorial LCH for immersed Lagrangian cobordisms
Yu Pan, Dan Rutherford
For -dimensional Legendrian submanifolds of -jet spaces, we extend the functorality of the Legendrian contact homology DG-algebra (DGA) from embedded exact Lagrangian cobordi…
Exact Lagrangian Fillings of Legendrian torus links
Yu Pan
For a Legendrian torus knot or link with maximal Thurston-Bennequin number, Ekholm, Honda, and Kálmán constructed exact Lagrangian fillings, where is the -th…
The augmentation category map induced by exact Lagrangian cobordisms
Yu Pan
To a Legendrian knot, one can associate an category, the augmentation category. An exact Lagrangian cobordism between two Legendrian knots gives a functor of…
PostLie algebra structures on the Lie algebra sl(2,C)
Yu Pan, Qing Liu, Chengming Bai +1
The PostLie algebra is an enriched structure of the Lie algebra that has recently arisen from operadic study. It is closely related to pre-Lie algebra, Rota-Baxter algebra, dendrif…