activity
20162022
most citedA note on the geometry and topology of almost even-Clifford Hermitian manifolds

5 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

math.MG2022

Bi-Lipschitz embeddings of the space of unordered -tuples with a partial transportation metric

David Bate, Ana Lucia Garcia-Pulido

Let be non-empty, open and proper. Consider , the space of finite Borel measures on equipped with the partial transportation metric introduced by…

math.RT2022

On the non-existence of sympathetic Lie algebras with dimension less than 25

A. L. Garcia-Pulido, G. Salgado

In this article we investigate the question of the lowest possible dimension that a sympathetic Lie algebra can attain, when its Levi subalgebra is…

cs.LG2022

Geometric reconstructions of density based clusterings

A. L. Garcia-Pulido, K. P. Samardzhiev

DBSCAN* and HDBSCAN* are well established density based clustering algorithms. However, obtaining the clusters of very large datasets is infeasible, limiting their use in real worl…

math.AT2021

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…

math.DG2016★ 4 cited

Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds

Ana Lucia Garcia-Pulido, Rafael Herrera

We prove the rigidity and vanishing of several indices of "geometrically natural" twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by au…

math.DG2016★ 5 cited

A note on the geometry and topology of almost even-Clifford Hermitian manifolds

Gerardo Arizmendi, Ana Lucia Garcia-Pulido, Rafael Herrera

We compute the structure groups of almost even-Clifford Hermitian manifolds and determine when such groups lead to Spin structures.