%0 Journal Article %T Super Characteristic Classes and Riemann-Roch Type Formula %A Tadashi Taniguchi %J Advances in Pure Mathematics %P 353-366 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.56034 %X

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.

%K Superspace %K Super Characteristic Class %K Complex Supercurve with Genus g %K SUSY Structure %K Cohomology of Helicity Group %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56591