Kevin Sackel

activity

20192024

most citedGetting a handle on contact manifolds

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

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3 papers · 1 filter

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.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…