Gromov-Witten gauge theory

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• 作者：Edward Frenkel^a ; ¹ ; ^{frenkel@math.berkeley.edu" class="auth_mail" title="E-mail the corresponding author} ; Constantin Teleman^a ; ¹ ; ^{teleman@math.berkeley.edu" class="auth_mail" title="E-mail the corresponding author} ; A.J. Tolland^b ; ¹ ; ^{ajt@math.sunysb.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Gromov&ndash ; Witten ; Gauge theory ; K-theory ; Artin stack ; Sheaf cohomology
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：22 January 2016
• 年：2016
• 卷：288
• 期：Complete
• 页码：201-239
• 全文大小：828 K

文摘

We introduce a modular completion of the stack of maps from stable marked curves to the quotient stack class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0001870815004272&_mathId=si1.gif&_user=111111111&_pii=S0001870815004272&_rdoc=1&_issn=00018708&md5=e9cf6d7e39434fe3b611d94fba05a3d9" title="Click to view the MathML source">[pt/C^×]class="mathContainer hidden">class="mathCode">$[\mathrm{pt}/{\mathbb{C}}^{\times }]$, and use this stack to construct some gauge-theoretic analogues of the Gromov–Witten invariants. We also indicate the generalization of these invariants to the quotient stacks class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0001870815004272&_mathId=si2.gif&_user=111111111&_pii=S0001870815004272&_rdoc=1&_issn=00018708&md5=4b64b12d86798fb3ba37afce5b033137" title="Click to view the MathML source">[X/C^×]class="mathContainer hidden">class="mathCode">$[X/{\mathbb{C}}^{\times }]$, where X is a smooth proper complex algebraic variety.