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# Advances in Theoretical and Mathematical Physics

## Volume 13 (2009)

### Number 3

### A perverse sheaf approach toward a cohomology theory for string theory

Pages: 667 – 694

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n3.a3

#### Author

#### Abstract

We present the construction and properties of a self-dual perverse sheaf $\underline{\underline{\mathcal{S}_0}}^\cdot$ whose cohomology fulfills some of the requirements of String theory as outlined in [1]. The construction of this $\underline{\underline{\mathcal{S}_0}}^\cdot$ utilizes techniques that follow from MacPherson–Vilonen. Finally, we will discuss its properties as they relate to String theory.