Geodesic
Polyhedral Products for Connected Sums of Simplicial Complexes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 168-178

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We investigate how the homotopy type of a polyhedral product changes under the operation of taking the connected sum of two simplicial complexes. This is obtained as a consequence of a more general result that considers how the homotopy type of a polyhedral product changes under the operation of gluing two simplicial complexes together along a common full subcomplex.
Keywords: polyhedral product, simplicial complex, connected sum. 
@article{TM_2022_317_a7,
     author = {Stephen Theriault},
     title = {Polyhedral {Products} for {Connected} {Sums} of {Simplicial} {Complexes}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {168--178},
     publisher = {mathdoc},
     volume = {317},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2022_317_a7/}
}
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Stephen Theriault. Polyhedral Products for Connected Sums of Simplicial Complexes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 168-178. http://geodesic.mathdoc.fr/item/TM_2022_317_a7/