2 citations · 4 across the 4 of their papers we have counts for
4 papers
Braid Groups on Triangulated Surfaces and Singular Homology
Karthik Yegnesh
Let denote the closed orientable surface of genus and fix an arbitrary simplicial triangulation of . We construct and study a natural surjective group homomorphism f…
The Fundamental Infinity-Groupoid of a Parametrized Family
Karthik Yegnesh
Given an infinity-category C, one can naturally construct an infinity-category Fam(C) of families of objects in C indexed by infinity-groupoids. An ordinary categorical version of…
Cosheaf Theoretical Constructions in Networks and Persistent Homology
Nicholas A. Scoville, Karthik Yegnesh
Persistent homology has recently emerged as a powerful technique in topological data analysis for analyzing the emergence and disappearance of topological features throughout a fil…
Persistence and Sheaves
Karthik Yegnesh
We study a variation of Carlsson and Zomorodian's persistent homology. As an application, we analyze the persistent cellular sheaf cohomology of network coding sheaves on deteriora…