# Intersection Poincare polynomial for Nagaraj-Seshadri moduli space

## TL;DR

This paper calculates Betti numbers and intersection Betti numbers for the moduli space of rank 2 semi-stable torsion-free sheaves over a reducible nodal curve, providing new insights into its topological structure.

## Contribution

It introduces explicit computations of Betti and intersection Betti numbers for a specific moduli space on reducible nodal curves, extending previous topological analyses.

## Key findings

- Betti numbers of the moduli space components are explicitly computed.
- Intersection Betti numbers of the moduli space are determined.
- Results enhance understanding of the topology of moduli spaces on singular curves.

## Abstract

We compute Betti numbers of both the components of the moduli space of rank 2 semi-stable torsion-free sheaves with fixed determinant over a reducible nodal curve with two smooth components intersecting at a node. We also compute the intersection Betti numbers of the moduli space.

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Source: https://tomesphere.com/paper/1702.06686