3 papers
math.AT2025
Persistent Homology for Labeled Datasets: Gromov-Hausdorff Stability and Generalized Landscapes
Yaoying Fu, Evgeniya Lagoda, Shiying Li +3
Techniques from metric geometry have become fundamental tools in modern mathematical data science, providing principled methods for comparing datasets modeled as finite metric spac…
math.SG2025
Anchored symplectic embeddings
Michael Hutchings, Agniva Roy, Morgan Weiler +1
Given two four-dimensional symplectic manifolds, together with knots in their boundaries, we define an ``anchored symplectic embedding'' to be a symplectic embedding, together with…
math.SG2025
A classification of infinite staircases for Hirzebruch surfaces
Nicki Magill, Ana Rita Pires, Morgan Weiler
The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccen…