Search
Search Results
-
Capacities of billiard tables and \(S^1\)-equivariant loop space homology
We introduce a sequence of “capacities” of Riemannian manifolds (with corners). These capacities are defined as min–max values associated with a...
-
Kähler packings of projective complex manifolds
We show that the multipoint Seshadri constant determines the maximum possible radii of embeddings of Kähler balls and vice versa.
-
Uniformization and Semiclassical Asymptotics for a Class of Equations Degenerating on the Boundary of a Manifold
In the approximation of linearized shallow water equations, the free surface elevation for gravitational waves in a basin Ω of variable depth D(x)...
-
Local Plücker formulas for orthogonal groups
Local Plücker formulas relate the vector of metrics on a holomorphic curve in the projective space, induced by the Fubini–Study metrics on projective...
-
On contact type hypersurfaces in 4-space
We consider constraints on the topology of closed 3-manifolds that can arise as hypersurfaces of contact type in standard symplectic
... 
-
-
-
Symplectic dynamics and the 3-sphere
Given a knot in a closed connected orientable 3-manifold we prove that if the exterior of the knot admits an aperiodic contact form that is Euclidean...
-
Smooth covers on symplectic manifolds
In this article, we first introduce the notion of a continuous cover of a manifold parametrised by any compact manifold T endowed with a mass 1...
-
Double bubble plumbings and two-curve flops
We discuss the symplectic topology of the Stein manifolds obtained by plumbing two 3-dimensional spheres along a circle. These spaces are related, at...
-
Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent
Finite frames, or spanning sets for finite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on...
-
The universal covers of hypertoric varieties and Bogomolov’s decomposition
In this paper, we study the (singular) universal cover of an affine hypertoric variety. We show that it is given by another affine hypertoric...
-
Symplectic resolution of orbifolds with homogeneous isotropy
We construct the symplectic resolution of a symplectic orbifold whose isotropy locus consists of disjoint submanifolds with homogeneous isotropy,...
-
An approach to stability analyses in general relativity via symplectic geometry
We begin with a review of the statements of non-linear, linear and mode stability of autonomous dynamical systems in classical mechanics, using...
-
Limits of stable maps in a semi-stable degeneration
Given a semistable degeneration with a simple normal crossings central fiber, Abramovich et al. (Compositio Mathematica 156(10):2020–2075, 2020)...
-
Kostant Prequantization of Symplectic Manifolds with Contact Singularities
The relationship between the Bohr-Sommerfeld quantization condition and the integrality of the symplectic structure in Planck constant units is...
-
Okounkov Bodies and the Kähler Geometry of Projective Manifolds
Given a projective manifold X equipped with an ample line bundle L, we show how to embed certain torus-invariant domains...
-
Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one
A horospherical variety is a normal G -variety such that a connected reductive algebraic group G acts with an open orbit isomorphic to a torus bundle...
