922 citations · 7.2k across the 348 of their papers we have counts for
20 papers · 1 filter
Torsion of digraphs and path complexes
Alexander Grigor'yan, Yong Lin, Shing-Tung Yau
We define the notions of Reidemeister torsion and analytic torsion for directed graphs by means of the path homology theory introduced by the authors in \cite{Grigoryan-Lin-Muranov…
Super quantum cohomology I: Super stable maps of genus zero with Neveu-Schwarz punctures
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
In this article we define stable supercurves and super stable maps of genus zero via labeled trees. We prove that the moduli space of stable supercurves and super stable maps of fi…
Ollivier Ricci-flow on weighted graphs
Shuliang Bai, Yong Lin, Linyuan Lu +2
We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by\cite{NLLG} in which the discrete t…
Elliptic stable envelopes and hypertoric loop spaces
Michael McBreen, Artan Sheshmani, Shing-Tung Yau
This paper relates the elliptic stable envelopes of a hypertoric variety with the K-theoretic stable envelopes of the loop hypertoric space, . It thus…
Positive Scalar Curvature on Noncompact Manifolds and the Liouville Theorem
Martin Lesourd, Ryan Unger, Shing-Tung Yau
Using minimal hypersurfaces, we obtain topological obstructions to admitting complete metrics with positive scalar curvature on a given class of non-compact n-manifolds with n less…
Computing Harmonic Maps and Conformal Maps on Point Clouds
Tianqi Wu, Shing-Tung Yau
We propose a novel meshless method to compute harmonic maps and conformal maps for surfaces embedded in the Euclidean 3-space, using point cloud data only. Given a surface, or a po…