4 citations · 9 across the 7 of their papers we have counts for
10 papers
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…
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…
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…
Torus knot filtered embedded contact homology of the tight contact 3-sphere
Jo Nelson, Morgan Weiler
Knot filtered embedded contact homology was first introduced by Hutchings in 2015; it has been computed for the standard transverse unknot in irrational ellipsoids by Hutchings and…
Four-periodic infinite staircases for four-dimensional polydisks
Caden Farley, Tara Holm, Nicki Magill +4
The ellipsoid embedding function of a symplectic four-manifold measures the amount by which its symplectic form must be scaled in order for it to admit an embedding of an ellipsoid…
Staircase Patterns in Hirzebruch Surfaces
Nicki Magill, Dusa McDuff, Morgan Weiler
The ellipsoidal capacity function of a symplectic four manifold measures how much the form on must be dilated in order for it to admit an embedded ellipsoid of eccentricity…
Infinite staircases for Hirzebruch surfaces
Maria Bertozzi, Tara S. Holm, Emily Maw +4
We consider the embedding capacity functions for symplectic embeddings of ellipsoids of eccentricity into the family of nontrivial rational Hirzebruch surfaces $H_…
Embedded contact homology of prequantization bundles
Jo Nelson, Morgan Weiler
The 2011 PhD thesis of Farris demonstrated that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a Z/2Z-graded group to the exterior algebra of the homol…
Mean action of periodic orbits of area-preserving annulus diffeomorphisms
Morgan Weiler
An area-preserving diffeomorphism of an annulus has an "action function" which measures how the diffeomorphism distorts curves. The average value of the action function over the an…
Pattern Avoidance in Poset Permutations
Sam Hopkins, Morgan Weiler
We extend the concept of pattern avoidance in permutations on a totally ordered set to pattern avoidance in permutations on partially ordered sets. The number of permutations on $P…