70 citations · 316 across the 56 of their papers we have counts for
Showing 2020 · math.ATShow all
2 papers · 2 filters
math.AT2020★ 17 cited
Cellular Sheaves of Lattices and the Tarski Laplacian
Robert Ghrist, Hans Riess
This paper initiates a discrete Hodge theory for cellular sheaves taking values in a category of lattices and Galois connections. The key development is the Tarski Laplacian, an en…
math.AT2020★ 10 cited
Persistence by Parts: Multiscale Feature Detection via Distributed Persistent Homology
Iris H. R. Yoon, Robert Ghrist
A method is presented for the distributed computation of persistent homology, based on an extension of the generalized Mayer-Vietoris principle to filtered spaces. Cellular cosheav…