194 citations · 657 across the 37 of their papers we have counts for
43 papers
A shadow perspective on equivariant Hochschild homologies
Katharine Adamyk, Teena Gerhardt, Kathryn Hess +2
Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type inva…
Persistent Homology with Improved Locality Information for more Effective Delineation
Doruk Oner, Adélie Garin, Mateusz Koziński +2
Persistent Homology (PH) has been successfully used to train networks to detect curvilinear structures and to improve the topological quality of their results. However, existing me…
Shadows are Bicategorical Traces
Kathryn Hess, Nima Rasekh
Hochschild homology has proved to be an important invariant in algebra and homotopy theory, in particular due to its relevance in algebraic -theory and fixed point theory, leadi…
From Trees to Barcodes and Back Again II: Combinatorial and Probabilistic Aspects of a Topological Inverse Problem
Justin Curry, Jordan DeSha, Adélie Garin +3
In this paper we consider two aspects of the inverse problem of how to construct merge trees realizing a given barcode. Much of our investigation exploits a recently discovered con…
Graph Pseudometrics from a Topological Point of View
Ana Lucia Garcia-Pulido, Kathryn Hess, Jane Tan +3
We explore pseudometrics for directed graphs in order to better understand their topological properties. The directed flag complex associated to a directed graph provides a useful…
From trees to barcodes and back again: theoretical and statistical perspectives
Lida Kanari, Adélie Garin, Kathryn Hess
Methods of topological data analysis have been successfully applied in a wide range of fields to provide useful summaries of the structure of complex data sets in terms of topologi…