2 citations · 4 across the 4 of their papers we have counts for
5 papers
J-tamed inflation via tame to compatible deformations
Pranav Chakravarthy, Jordan Payette, Martin Pinsonnault
We give a complete and self-contained exposition of the -tame inflation lemma: Given any tame almost complex structure on a symplectic -manifold , and given any co…
Coarse nodal count and topological persistence
Lev Buhovsky, Jordan Payette, Iosif Polterovich +3
Courant's theorem implies that the number of nodal domains of a Laplace eigenfunction is controlled by the corresponding eigenvalue. Over the years, there have been various attempt…
Optimal unions of scaled copies of domains and Pólya's conjecture
Pedro Freitas, Jean Lagacé, Jordan Payette
Given a bounded Euclidean domain , we consider the sequence of optimisers of the Laplacian eigenvalue within the family consisting of all possible disjoint unions o…
The Poisson bracket invariant on surfaces
Jordan Payette
We study the Poisson bracket invariant, which measures the level of Poisson noncommutativity of a smooth partition of unity, on closed symplectic surfaces. Motivated by a general c…
Continuous Covers on Symplectic Manifolds
François Lalonde, Jordan Payette
In this article, we first introduce the notion of a {\it continuous cover} of a manifold parametrised by any compact manifold endowed with a mass 1 volume-form. We prove that any s…