Super Characteristic Classes and Riemann-Roch Type Formula  

作　　者：Tadashi Taniguchi 

机构地区：[1]Gunma National College of Technology, Maebashi-Shi, Japan

出　　处：《Advances in Pure Mathematics》2015年第6期353-366,共14页理论数学进展（英文）

摘　　要：The main purpose of this article is to define the super characteristic classes on a super vector bundle over a superspace. As an application, we propose the examples of Riemann-Roch type formula. We also introduce the helicity group and cohomology with respect to coefficient of the helicity group. As an application, we propose the examples of Gauss-Bonnet type formula.The main purpose of this article is to define the super characteristic classes on a super vector bundle over a superspace. As an application, we propose the examples of Riemann-Roch type formula. We also introduce the helicity group and cohomology with respect to coefficient of the helicity group. As an application, we propose the examples of Gauss-Bonnet type formula.

关 键 词：SUPERSPACE Super Characteristic Class Complex Supercurve with GENUS g SUSY Structure COHOMOLOGY of HELICITY Group 

分 类 号：O1[理学—数学]