36 citations · 166 across the 32 of their papers we have counts for
5 papers · 1 filter
Algebraic Weaves and Braid Varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +1
In this manuscript we study braid varieties, a class of affine algebraic varieties associated to positive braids. Several geometric constructions are presented, including certain t…
Lagrangian Skeleta and Plane Curve Singularities
Roger Casals
We construct closed arboreal Lagrangian skeleta associated to links of isolated plane curve singularities. This yields closed arboreal Lagrangian skeleta for Weinstein pairs and We…
Legendrian Weaves: N-graph Calculus, Flag Moduli and Applications
Roger Casals, Eric Zaslow
We study a class of Legendrian surfaces in contact five-folds by encoding their wavefronts via planar combinatorial structures. We refer to these surfaces as Legendrian weaves, and…
Full Ellipsoid Embeddings and Toric Mutations
Roger Casals, Renato Vianna
This article introduces a new method to construct volume-filling symplectic embeddings of 4-dimensional ellipsoids by employing polytope mutations in toric and almost-toric varieti…
Infinitely many Lagrangian fillings
Roger Casals, Honghao Gao
We prove that all maximal-tb Legendrian torus links (n,m) in the standard contact 3-sphere, except for (2,m),(3,3),(3,4) and (3,5), admit infinitely many Lagrangian fillings in the…