A Perverse Sheaf Approach Toward a Cohomology Theory for String Theory
Algebraic Topology
2026-03-26 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present the construction and properties of a self-dual perverse sheaf S_0 whose cohomology fulfills some of the requirements of String theory as outlined by T. Hubsch in hep-th/9612075. The construction of this S_0 utilizes techniques that follow from MacPherson-Vilonen (Inv. Math. vol. 84, pp. 403-435, 1986). Finally, we will discuss its properties as they relate to String theory.
Keywords
Cite
@article{arxiv.0704.3298,
title = {A Perverse Sheaf Approach Toward a Cohomology Theory for String Theory},
author = {Abdul Rahman},
journal= {arXiv preprint arXiv:0704.3298},
year = {2026}
}
Comments
Added section 5 (an example)