{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:00Z","timestamp":1753893780145,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $V_1, V_2, V_3, \\dots $ be a sequence of $\\mathbb {Q}$-vector spaces where $V_n$ carries an action of $\\mathfrak{S}_n$. Representation stability\u00a0and multiplicity stability are two related notions of when the sequence $V_n$ has a limit. An important source of stability phenomena arises when $V_n$ is the $d^{th}$ homology group (for fixed $d$) of the configuration space of $n$ distinct points in some fixed topological space $X$. We replace these configuration spaces with moduli spaces of tuples $(W_1, \\dots, W_n)$ of subspaces of a fixed complex vector space $\\mathbb {C}^N$ such that $W_1 + \\cdots + W_n = \\mathbb {C}^N$. These include the varieties of spanning line configurations\u00a0which are tied to the Delta Conjecture of symmetric function theory.<\/jats:p>","DOI":"10.37236\/11136","type":"journal-article","created":{"date-parts":[[2023,1,13]],"date-time":"2023-01-13T09:27:23Z","timestamp":1673602043000},"source":"Crossref","is-referenced-by-count":0,"title":["Spanning Configurations and Representation Stability"],"prefix":"10.37236","volume":"30","author":[{"given":"Brendan","family":"Pawlowski","sequence":"first","affiliation":[]},{"given":"Eric","family":"Ramos","sequence":"additional","affiliation":[]},{"given":"Brendon","family":"Rhoades","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2023,1,13]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i1p7\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i1p7\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,13]],"date-time":"2023-01-13T09:27:24Z","timestamp":1673602044000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v30i1p7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,13]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,1,13]]}},"URL":"https:\/\/doi.org\/10.37236\/11136","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2023,1,13]]},"article-number":"P1.7"}}