Riemann-Roch-Hirzebruch Theorem For Circle Bundle Over A Riemann Surface

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/74943

Title:	Riemann-Roch-Hirzebruch Theorem For Circle Bundle Over A Riemann Surface
Authors:	廖欣瑩;Liao, Sin-Ying
Contributors:	數學系
Keywords:	黎曼面;Hirzebruch-Riemann-Roch
Date:	2017-07-12
Issue Date:	2017-10-27 16:12:38 (UTC+8)
Publisher:	國立中央大學
Abstract:	鄭老師、蕭老師和蔡老師最近有一個定理，是在有 circle action 的 CR manifolds 上的 CR Riemann-Roch-Hirzebruch 定理。我們先複習在 Riemann surfaces 上的 Riemann-Roch-Hirzebruch 定理，然後再討論鄭老師、蕭老師和蔡老師在 CR manifolds 上 circle bundle 的 CR Riemann-Roch-Hirzebruch 定理。;In a recent paper of Cheng, Hsiao and Tsai, they obtained a CR Riemann-Roch-Hirzebruch Theorem for CR manifolds with a circle action. In this thesis we first review the Riemann-Roch-Hirzebruch Theorem for Riemann surfaces. Then we discuss CR Riemann-Roch-Hirzebruch Theorem of Cheng, Hsiao and Tsai for a circle bundle over a Riemann surface in details.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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