Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4

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• 作者：Yuri Kordyukov^a ; ^{yurikor@matem.anrb.ru" class="auth_mail" title="E-mail the corresponding author} ; Mehdi Lejmi^b ; ^{mehdi.lejmi@bcc.cuny.edu" class="auth_mail" title="E-mail the corresponding author} ; Patrick Weber^c ; ^{pweber@ulb.ac.be" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Seiberg&ndash ; Witten invariants ; Foliations ; Basic elliptic theory
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：107
• 期：Complete
• 页码：114-135
• 全文大小：582 K

文摘

We define Seiberg&ndash;Witten equations on closed manifolds endowed with a Riemannian foliation of codimension 4. When the foliation is taut, we show compactness of the moduli space under some hypothesis satisfied for instance by closed d="mmlsi1" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016301279&_mathId=si1.gif&_user=111111111&_pii=S0393044016301279&_rdoc=1&_issn=03930440&md5=585632b2e26a5666c4a8a9927d6e38a0" title="Click to view the MathML source">KmathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll"><mi>Kmi>math>-contact manifolds. Furthermore, we prove some vanishing and non-vanishing results and we highlight that the invariants may be used to distinguish different foliations on diffeomorphic manifolds.