# The Novikov Conjecture

## TL;DR

This paper surveys recent progress on the Novikov conjecture, highlighting its implications for topological rigidity and non-rigidity, and discusses various applications in topology.

## Contribution

It provides a comprehensive overview of recent developments related to the Novikov conjecture and its applications.

## Key findings

- Summarizes recent advances in the Novikov conjecture
- Highlights applications to topological rigidity
- Discusses non-rigidity cases

## Abstract

We give a survey on recent development of the Novikov conjecture and its applications to topological rigidity and non-rigidity. .