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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…
math.SG2024
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…