Bridgeland stability conditions on the acyclic triangular quiver

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• 作者：George Dimitrov ; ^{gkid@abv.bg" class="auth_mail" title="E-mail the corresponding author} ; Ludmil Katzarkov ^{lkatzarkov@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Bridgeland stability conditions on triangulated categories ; Exceptional collections ; Tame representation type quiver ; Affine quiver ; Contractible space
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：22 January 2016
• 年：2016
• 卷：288
• 期：Complete
• 页码：825-886
• 全文大小：812 K

文摘

Using results in our previous paper “Non-semistable exceptional objects in hereditary categories”, we focus here on studying the topology of the space of Bridgeland stability conditions on mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0001870815004363&_mathId=si1.gif&_user=111111111&_pii=S0001870815004363&_rdoc=1&_issn=00018708&md5=953e02c497cfaadfd7e1952e29f310dc" title="Click to view the MathML source">D^b(Rep_k(Q))$D^b({\mathit{Rep}}_k(Q))$, where science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0001870815004363&_mathId=si2.gif&_user=111111111&_pii=S0001870815004363&_rdoc=1&_issn=00018708&md5=6f9b1a06ebcb2a960f0502c42d4e51bd" title="Click to view the MathML source">Q=$Q=\text{<inline-figure baseline="0.0"><link locator="fx001" type="simple" <font="" color="red">href="pii:S0001-8708(15)00436-3/fx001"></inline-figure>}$ and k is an algebraically closed field. In particular, we prove that this space is contractible (in the previous paper it was shown that it is connected).