Lens spaces as dual complexes of Log Calabi-Yau pairs
Abstract
We demonstrate the construction of singular log Calabi-Yau $4$-folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with action of a finite cyclic group. We explicitly obtain the Lens spaces $L(3,1)$, $L(5,1)$, and $L(5,2)$ in this way.
2020 Mathematics Subject Classification:
14J32Keywords
dual complex, log Calabi-Yau
Author Details
Morgan V. Brown
Department of Mathematics
University of Miami
Coral Gables, FL 33146 USA
e-mail: mvbrown@math.miami.edu
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