Super Characteristic Classes and Riemann-Roch Type Formula - Advances in Pure Mathematics

APM > Vol.5 No.6, May 2015

Advances in Pure Mathematics

Volume 5, Issue 6 (May 2015)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Super Characteristic Classes and Riemann-Roch Type Formula ()

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DOI: 10.4236/apm.2015.56034 3,255 Downloads 4,180 Views Citations

Author(s)

Tadashi Taniguchi^*

Affiliation(s)

Gunma National College of Technology, Maebashi-Shi, Japan.

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.

KEYWORDS

Superspace, Super Characteristic Class, Complex Supercurve with Genus g, SUSY Structure, Cohomology of Helicity Group

Share and Cite:

Taniguchi, T. (2015) Super Characteristic Classes and Riemann-Roch Type Formula. Advances in Pure Mathematics, 5, 353-366. doi: 10.4236/apm.2015.56034.

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