Quantum dilogarithm identities for n-cycle quivers
We prove quantum dilogarithm identities for $n$-cycle quivers. By the combinatorial approach of Keller, each side of our identity determines a maximal green sequence of quiver mutations. Thus we interpret our identities as factorizations of the refined Donaldson--Thomas invariant for the quiver with...
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| creator | Allman, Justin |
| description | We prove quantum dilogarithm identities for $n$-cycle quivers. By the
combinatorial approach of Keller, each side of our identity determines a
maximal green sequence of quiver mutations. Thus we interpret our identities as
factorizations of the refined Donaldson--Thomas invariant for the quiver with
potential. Finally, we conjecture an upper bound on the possible lengths of
maximal green sequences. |
| doi_str_mv | 10.48550/arxiv.1812.00871 |
| format | Article |
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combinatorial approach of Keller, each side of our identity determines a
maximal green sequence of quiver mutations. Thus we interpret our identities as
factorizations of the refined Donaldson--Thomas invariant for the quiver with
potential. Finally, we conjecture an upper bound on the possible lengths of
maximal green sequences.</description><identifier>DOI: 10.48550/arxiv.1812.00871</identifier><language>eng</language><subject>Mathematics - Representation Theory</subject><creationdate>2018-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1812.00871$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1812.00871$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Allman, Justin</creatorcontrib><title>Quantum dilogarithm identities for n-cycle quivers</title><description>We prove quantum dilogarithm identities for $n$-cycle quivers. By the
combinatorial approach of Keller, each side of our identity determines a
maximal green sequence of quiver mutations. Thus we interpret our identities as
factorizations of the refined Donaldson--Thomas invariant for the quiver with
potential. Finally, we conjecture an upper bound on the possible lengths of
maximal green sequences.</description><subject>Mathematics - Representation Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzkkKwjAYQOFsXIh6AFfmAq35k8ZkK8UJBBHcl4waaKumA3p7x9XbPT6EpkDSTHJO5io-Qp-CBJoSIgUMET12qm67CttQXs8qhvZS4WBd3YY2uAb7a8R1Yp6mdPjehd7FZowGXpWNm_w7Qqf16pRvk_1hs8uX-0QtBCQGOBCvVSYZADEgrdYLyRhxVnLKnBfOw9vAGRVZpoWhxAjrpaVGayo0G6HZb_tFF7cYKhWfxQdffPHsBQGNPu0</recordid><startdate>20181203</startdate><enddate>20181203</enddate><creator>Allman, Justin</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20181203</creationdate><title>Quantum dilogarithm identities for n-cycle quivers</title><author>Allman, Justin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-c1510fba483110c18dbb68330ed8523ef7ef1087532744b7c20c7df8d2cbb27b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Mathematics - Representation Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Allman, Justin</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Allman, Justin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum dilogarithm identities for n-cycle quivers</atitle><date>2018-12-03</date><risdate>2018</risdate><abstract>We prove quantum dilogarithm identities for $n$-cycle quivers. By the
combinatorial approach of Keller, each side of our identity determines a
maximal green sequence of quiver mutations. Thus we interpret our identities as
factorizations of the refined Donaldson--Thomas invariant for the quiver with
potential. Finally, we conjecture an upper bound on the possible lengths of
maximal green sequences.</abstract><doi>10.48550/arxiv.1812.00871</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Representation Theory |
| title | Quantum dilogarithm identities for n-cycle quivers |
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