# Towards Noncommutative Topological Quantum Field Theory: New invariants for 3-manifolds

## TL;DR

This paper introduces new invariants for 3-manifolds derived from taut foliations and noncommutative geometry, aiming to extend topological quantum field theories into the noncommutative setting.

## Contribution

It proposes novel invariants for 3-manifolds based on taut foliations and noncommutative geometry, advancing the generalization of TQFTs.

## Key findings

- New invariants for 3-manifolds defined
- Techniques from noncommutative geometry applied
- Potential framework for noncommutative TQFTs

## Abstract

We define some new invariants for 3-manifolds using the space of taut codim-1 foliations along with various techniques from noncommutative geometry. These invariants originate from our attempt to generalise Topological Quantum Field Theories in the Noncommutative geometry / topology realm.

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Source: https://tomesphere.com/paper/1701.05424