A glimpse into Rokhlin's Signature Divisibility Theorem

Finashin S., Kharlamov V.

arXiv, no.No, pp.1-19, 2020 (Non Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Journal Name: arXiv
  • Page Numbers: pp.1-19
  • Middle East Technical University Affiliated: Yes

Abstract

This paper was conceived as an addendum to the note "Rokhlin's signature theorems" (by O.Viro and the authors of this paper). In the main section we give an overview of Rokhlin's proof of his famous theorem on divisibility of signature by 16. In the appendix we retrace some of further developments that show how this theorem became a cornerstone in the contemporary theory of manifolds.