We continued the study of the contact homology of subcritical Stein manifolds initiated by Mei-Lin Yau. With the technical assumption that the first Chern class of the Stein domain vanishes, we determined the full contact homology of the boundary of a subcritical Stein domain. Moreover we calculated the genus 0 correlators and descendants of one marked point for the Stein domain. As an applicat...

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We establish existence of Stein kernels for probability measures on R satisfying a Poincaré inequality, and obtain bounds on the Stein discrepancy of such measures. Applications to quantitative central limit theorems are discussed, including a new CLT in Wasserstein distance W2 with optimal rate and dependence on the dimension. As a byproduct, we obtain a stable version of an estimate of the Po...

We construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3-manifolds. Math. Res. Lett. 15 (2008), no. 6, 1127–1132 c © International Press 2008 A NOTE ON STEIN FILLINGS OF CONTACT MANIFOLDS Anar Akhmedov, John B. Etnyre, Thomas E. Mark, and Ivan Smith Abstract. In this note we construct infinitely many distinct simply connected Stein fillings...