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Title: On fillings of $$\partial (V\times {\mathbb {D}})$$
Abstract We show that any symplectically aspherical/Calabi–Yau filling of Y := ∂(V × D) has vanishing symplectic cohomology for any Liouville domain V . In particular, we make no topological requirement on the filling and c₁(V ) can be nonzero. Moreover, we show that for any symplectically aspherical/Calabi–Yau filling W of Y , the interior W˚ is diffeomorphic to the interior of V × D if π₁(Y ) is abelian and dim V ≥ 4. And W is diffeomorphic to V × D if moreover the Whitehead group of π₁(Y ) is trivial.  more » « less
Award ID(s):
1926686
PAR ID:
10352408
Author(s) / Creator(s):
Date Published:
Journal Name:
Mathematische Annalen
ISSN:
0025-5831
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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