Open book structures on $(n-1)$-connected $(2n+1)$-manifolds

Journal of Mathematical Sciences

Neto, Oziride Manzoli¹  Saeki, Osamu¹  Massago, Sadao¹ 

关键词: Fibered knot;    isotopy of embeddings;    Milnor fibration;    open book;    rational Seifert form;    spinnable structure;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Wecompletelyclassifysimpleopenbookstructureson$(n-1)$-connectedclosed$(2n+1)$-dimensionalmanifoldsfor$nge4$,$ne7$,andon$(n-1)$-connectedrationalhomology$(2n+1)$-spheresfor$n=3,7$,usingtheiralgebraictopologicalinvariants.Thisgeneralizessomeknownresultsabouttheclassificationoffiberedknotsinspheresandtheexistenceofopenbookstructuresonmanifolds.Wealsogiveapplicationsandexamplessoastoshowtheeffectivenessofourclassification.

【 授权许可】

Unknown