Abstract
A small cover is a closed smooth manifold of dimension $n$ having a locally standard $\mathbb{Z}_2^n$-action whose orbit space is isomorphic to a simple polytope. In the paper, we classify small covers and real toric manifolds whose orbit space is isomorphic to the dual of the simplicial complex obtainable by a sequence of wedgings from a polygon, using a systematic combinatorial method of puzzles finding toric spaces.
Funding Statement
The first author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT & Future Planning(NRF-2016R1D1A1A09917654).
Citation
Suyoung CHOI. Hanchul PARK. "Small covers over wedges of polygons." J. Math. Soc. Japan 71 (3) 739 - 764, July, 2019. https://doi.org/10.2969/jmsj/79727972
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