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Super Characteristic Classes and Riemann-Roch Type Formula
Gunma National College of Technology, Maebashi-Shi, Japan
- 1 Gunma National College of Technology, Maebashi-Shi, Japan
Advances in Pure Mathematics·Volume 05 (2015)·Pages 353–366·Published 5 May 2015·DOI10.4236/apm.2015.56034
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Abstract
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.
KeywordsSuperspaceSuper Characteristic ClassComplex Supercurve with Genus gSUSY StructureCohomology of Helicity Group
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