The isotopy classification of contact structures on S3

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77835

Title:	The isotopy classification of contact structures on S3
Authors:	陳柏洹;Chen, Bo-Huan
Contributors:	數學系
Keywords:	微分幾何;切觸幾何;Differential geometry;Contact geometry
Date:	2018-07-24
Issue Date:	2018-08-31 14:58:53 (UTC+8)
Publisher:	國立中央大學
Abstract:	由Lutz、Martinet及Eliashberg的工作，我們可得知：若以同痕方式進行分類，在三維球面上的切觸結構已經被分類完成。本文將會藉由half及full Lutz twist方法，來為每一個同痕類找出更為具體且可算的代表元素。;By the works of Lutz, Martinet and Eliashberg, we have known that the isotopy classes of contact structures on S^3 have been completely classified. In this thesis, we will find a representative for each class in a more explicit and computable form via the half and full Lutz twist.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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