Splitting Obstruction Groups Along one-Sided Submanifolds

• Date: 2014
• Main Authors: Muranov, Yu. V., Jiménez, R., Муранов, Ю. В., Хименес, Р.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2135
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct new commutative diagrams of exact sequences which relate surgery and splitting obstruction groups for pairs of manifolds. The splitting and surgery obstruction groups are computed for pairs of manifolds and various geometric diagrams of groups corresponding to the problem of splitting a...