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arXiv 0802.0810math.GTmath.SG
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关于相对Giroux对应

On the relative Giroux correspondence

Tolga Etgü, Burak Ozbagci

摘要:

最近,Honda,Kazez和Matic通过推广Giroux在闭情况下的工作,描述了具有凸边界的紧致切触3-流形的一个适应的部分开书。他们还隐式地建立了部分开书分解模正稳定的同构类与具有凸边界的紧切触3-流形的同构类之间的一一对应。在这篇文章中,我们解释了吉鲁对应的相对版本。

英文摘要:

Recently, Honda, Kazez and Matic described an adapted partial open book of a compact contact 3-manifold with convex boundary by generalizing the work of Giroux in the closed case. They also implicitly established a one-to-one correspondence between isomorphism classes of partial open book decompositions modulo positive stabilization and isomorphism classes of compact contact 3-manifolds with convex boundary. In this expository article we explicate the relative version of Giroux correspondence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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