A Generalization of the Casson Invariant

TL;DR

This paper introduces a new three-dimensional supergravity theory that extends the Casson invariant, providing a novel topological invariant for three-manifolds through the computation of its partition function.

Contribution

It presents a generalized supergravity model whose partition function defines a new three-manifold invariant extending the classical Casson invariant.

Findings

Partition function computed for the new supergravity model.

The invariant generalizes the Casson invariant.

The model resembles recent work by Mann and Papadopoulos.

Abstract

A three dimensional supergravity theory which generalizes the super IG theory of Witten and resembles the model discussed recently by Mann and Papadopoulos is displayed. The partition function is computed, and is shown to be a three-manifold invariant generalizing the Casson invariant.