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A glimpse into Rokhlin's Signature Divisibility Theorem

Geometric Topology 2020-12-14 v1

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.

Cite

@article{arxiv.2012.06389,
  title  = {A glimpse into Rokhlin's Signature Divisibility Theorem},
  author = {Sergey Finashin and Viatcheslav Kharlamov},
  journal= {arXiv preprint arXiv:2012.06389},
  year   = {2020}
}

Comments

19 pages

R2 v1 2026-06-23T20:54:13.899Z