@InProceedings{choi_et_al:LIPIcs.SoCG.2024.41, author = {Choi, Suyoung and Jang, Hyeontae and Vall\'{e}e, Mathieu}, title = {{GPU Algorithm for Enumerating PL Spheres of Picard Number 4: Application to Toric Topology}}, booktitle = {40th International Symposium on Computational Geometry (SoCG 2024)}, pages = {41:1--41:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-316-4}, ISSN = {1868-8969}, year = {2024}, volume = {293}, editor = {Mulzer, Wolfgang and Phillips, Jeff M.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.41}, URN = {urn:nbn:de:0030-drops-199864}, doi = {10.4230/LIPIcs.SoCG.2024.41}, annote = {Keywords: PL sphere, simplicial sphere, toric manifold, Picard number, weak pseudo-manifold, characteristic map, binary matroid, parallel computing, GPU programming} }