Rokhlin's signature theorems

TL;DR

This paper discusses Rokhlin's signature theorems, highlighting their significance in topology and their historical context, presented in an accessible manner for a broad mathematical audience.

Contribution

It provides an accessible exposition of Rokhlin's signature theorems, emphasizing their importance and historical development within the context of a commemorative publication.

Findings

Rokhlin's theorems are fundamental in topology.

The paper clarifies the mathematical and historical significance of these theorems.

It makes complex ideas accessible to a wider audience.

Abstract

This note is written for a book dedicated to outstanding St-Petersburg mathematicians and timed to the ICM-2022 in St-Petersburg. In accordance with the plan of ICM-organizers, we try to tell about one of the most prominent Rokhlin's achievements in an accessible form and respecting the allowed volume.