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4 papers
Sharp symplectic embeddings of cylinders
Álvaro Pelayo, San Vũ Ngoc
We show that the cylinder Z^{2n}(1):= B^2(1)\times \mathbb{R}^{2(n-1)} embeds symplectically into B^4(R) \times \mathbb{R}^{2(n-2)} if R \geq \sqrt{3}.
Symplectic spectral geometry of semiclassical operators
Álvaro Pelayo
In the past decade there has been a flurry of activity at the intersection of spectral theory and symplectic geometry. In this paper we review recent results on semiclassical spect…
Voevodsky's Univalence Axiom in homotopy type theory
Steve Awodey, Álvaro Pelayo, Michael A. Warren
In this short note we give a glimpse of homotopy type theory, a new field of mathematics at the intersection of algebraic topology and mathematical logic, and we explain Vladimir V…
Log-concavity and symplectic flows
Yi Lin, Álvaro Pelayo
Let M be a compact, connected symplectic 2n-dimensional manifold on which an(n-2)-dimensional torus T acts effectively and Hamiltonianly. Under the assumption that there is an effe…