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A note on contact manifolds with infinite fillings

Published 24 Apr 2023 in math.SG and math.GT | (2304.11804v1)

Abstract: We use spinal open books to construct contact manifolds with infinitely many different Weinstein fillings in any odd dimension $> 1$, which were previously unknown for dimensions equal to $4n+1$. The argument does not involve understanding factorizations in the symplectic mapping class group.

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