Kevin Sackel

activity

20192024

most citedGetting a handle on contact manifolds

5 citations · 8 across the 5 of their papers we have counts for

collaborators

5 papers

math.SG2024

Products of locally conformal symplectic manifolds

Baptiste Chantraine, Kevin Sackel

Given two locally conformal symplectic (LCS) structures on manifolds $M_{1}$ and $M_{2}$ , we construct a natural $R^{+}$ -torsor of locally conformal symplectic structures on a certain c…

math.GT2023

Obstructions for exact submanifolds with symplectic applications

Kevin Sackel

Suppose $X^{N}$ is a closed oriented manifold, $α \in H^{*} (X; R)$ is a cohomology class, and $Z \in H_{N - k} (X)$ is an integral homology class. We ask the following question:…

math.CO2021

Differential graded algebras for trivalent plane graphs and their representations

Kevin Sackel

To any trivalent plane graph embedded in the sphere, Casals and Murphy associate a differential graded algebra (dg-algebra), in which the underlying graded algebra is free associat…

math.SG2021★ 3 cited

On certain quantifications of Gromov's non-squeezing theorem

Kevin Sackel, Antoine Song, Umut Varolgunes +1

Let $R > 1$ and let $B$ be the Euclidean $4$ -ball of radius $R$ with a closed subset $E$ removed. Suppose that $B$ embeds symplectically into the unit cylinder $\mathbb{D}^2 \times…

math.SG2019★ 5 cited

Getting a handle on contact manifolds

Kevin Sackel

We develop the details of a surgery theory for contact manifolds of arbitrary dimension via convex structures, extending the 3-dimensional theory developed by Giroux. The theory is…