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【学术报告】2021年5月29日杨会军副教授举办学术讲座

时间:2021-05-27

报告人:杨会军(河南大学)

邀请人:熊跃山

报告时间:2021年5月29日(星期六)10:10-11:40

报告地点:科技楼(南楼)602室

报告题目:The existence of contact structures on 9-manifolds

报告摘要:We give necessary and sufficient conditions for a closed orientable 9-manifold M to admit an almost contact structure. The conditions are stated in terms of the Stiefel-Whitney classes of M and other more subtle homotopy invariants of M. By a fundamental result of Borman, Eliashberg and Murphy, M admits an almost contact structure if and only if M admits an over-twisted contact structure. Hence we give necessary and sufficient conditions for M to admit an over-twisted contact structure and we prove that if N is another closed 9-manifold which is homotopy equivalent to M, then M admits an over-twisted contact structure if and only if N does. In addition, for W_i(M) the i-th integral Stiefel-Whitney class of M, we prove that if W_3(M) = 0 then W_7(M) = 0. This is a joint work with Professor Diarmuid Crowley.

报告人简介:杨会军,河南大学副教授,研究方向为代数拓扑,主要研究流形上近复结构和切触结构的存在性问题。

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