4 papers
Matchings and Clusters on Plabic Fences
João Pedro Carvalho, Yucong Lei
Fix two positive braid words , and let be the corresponding (type A) double Bott-Samelson variety. Let be a double braid word containing $β_+,β_…
Higher -Continued Fractions and Dimers on Band Graphs
Wonwoo Kang, Yucong Lei
In this paper, we explore the theory of higher dimers on band graphs. First, we provide a combinatorial interpretation for the trace of the -deformed higher continued fraction m…
Construction of fillings with prescribed Gaussian image and applications
Antonio De Rosa, Yucong Lei, Robert Young
We construct -dimensional polyhedral chains such that the distribution of tangent planes is close to a prescribed measure on the Grassmannian and the chains are either cycles (i…
Tri-plane diagrams for simple surfaces in
Wolfgang Allred, Manuel Aragón, Zack Dooley +8
Meier and Zupan proved that an orientable surface in admits a tri-plane diagram with zero crossings if and only if is unknotted, so that the cross…