A glimpse into Rokhlin's Signature Divisibility Theorem

Finashin S., Kharlamov V.

arXiv, sa.No, ss.1-19, 2020 (Hakemsiz Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2020
  • Dergi Adı: arXiv
  • Sayfa Sayıları: ss.1-19
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.