Article citationsMore>>

Bartocci, C., Bruzzo, U. and Ruipérez, D.H. (1991) The Geometry of Supermanifolds. Mathematics and Its Applications, Volume 71, Kluwer Academic Publishers, Norwell.

has been cited by the following article:

• 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.