TITLE:
Super Characteristic Classes and Riemann-Roch Type Formula
AUTHORS:
Tadashi Taniguchi
KEYWORDS:
Superspace, Super Characteristic Class, Complex Supercurve with Genus g, SUSY Structure, Cohomology of Helicity Group
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.6,
May
25,
2015
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.