@InProceedings{ding_et_al:LIPIcs.ICALP.2022.53, author = {Ding, Ming and Kyng, Rasmus and Gutenberg, Maximilian Probst and Zhang, Peng}, title = {{Hardness Results for Laplacians of Simplicial Complexes via Sparse-Linear Equation Complete Gadgets}}, booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)}, pages = {53:1--53:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-235-8}, ISSN = {1868-8969}, year = {2022}, volume = {229}, editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2022.53}, URN = {urn:nbn:de:0030-drops-163945}, doi = {10.4230/LIPIcs.ICALP.2022.53}, annote = {Keywords: Simplicial Complexes, Combinatorial Laplacians, Linear Equations, Fine-Grained Complexity} }