A small cover is a closed smooth manifold of dimension n having a locally standard Zn 2 -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.
2010 Mathematics Subject Classification. Primary 14M25; Secondary 57S25, 52B11, 13F55, 18A10. Key Words and Phrases. puzzle, real toric variety, simplicial wedge, small cover, real toric manifold. 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).
