Preprints 2014 - 2017


  1. NEW!  Beyond Sperner's lemma (October 10, 2017;  minor edits - October 15, 2017).
    PDF direct linkPDF Google Drive link
  2. NEW!  Notes on the bounded cohomology theory (August 3, 2017. Minor edits and the title change - August 17, 2017).
    PDF direct linkPDF Google Drive linkArXiv.
  3. The de Bruijn-Erdös-Hanani theorem (May 12, 2017).
    PDF direct linkPDF Google Drive linkArXiv.
  4. The de Bruijn-Erdös theorem in incidence geometry via Ph. Hall's marriage theorem (April 12, 2017. Minor revisions - April 23, 2017).
    PDF direct linkPDF Google Drive linkArXiv.
  5. Elements of Torelli topology: II. The extension problem (April 4, 2017). 
    A major revision. The notions of admissible and peripheral diffeomorphisms from the first version are replaced by the new notion of weak Torelli diffeomorphisms.
    PDF direct linkPDF Google Drive linkArXiv.
  6. The conformal dilatation and the Beltrami forms over quadratic fields extensions (January 21, 2017).
    PDF direct linkPDF Google Drive linkArXiv.
  7. The geometric meaning of the complex dilatation (November 12, 2016).
    Revised January 21, 2017: a discussion of the action of real linear maps on the complex dilatation is added.
    PDF direct linkPDF Google Drive linkArXiv.
  8. A geometric interpretation of the complex dilatation (December 21, 1995).
    Revised November 6, 2016: reformatting and minor edits. 
    PDF direct linkPDF Google Drive link
  9. Elements of Torelli topology: II. The extension problem (July 8, 2016).
    Uploaded September 5, 2016. 
    PDF direct linkPDF Google Drive linkArXiv.
  10. Elements of Torelli topology: I. The rank of abelian subgroups (June 24, 2016).
    Uploaded September 5, 2016. 
    PDF direct linkPDF Google Drive linkArXiv.
  11. The Tutte expansion revisited (March 10, 2016).
    Revised April 12, 2016.  PDF direct linkPDF Google Drive linkArXiv.
  12. Algebra of linear recurrence relations in arbitrary characteristic (December 30, 2014).
    Completely revised version of “An Algebraists’ View of the Linear Recurrence Relations”.
    Revised April 16, 2016: minor edits and new “Note bibiliographique”. 
    PDF direct linkPDF Google Drive linkArXiv.
  13. Affine planes, ternary rings, and examples of non-Desarguesian planes (October 8, 2014).
    Revised April 15, 2016: minor edits. 
    PDF direct linkPDF Google Drive linkArXiv.
  14. The virtual cohomology dimension of Teichmüller modular groups: the first results and a road not taken (September 30, 2015). 
    PDF direct linkPDF Google Drive link. ArXiv.
  15. An English translation of A. N. Kolmogorov's and Y. G. Sinai's papers introducing entropy of dynamical systems (May 2014).  
    Uploaded May 17, 2015.
    PDF direct linkPDF Google Drive link.
  16. An Algebraists’ View of the Linear Recurrence Relations (Version 2, December 14, 2014). 
    PDF direct linkPDF Google Drive link.
  17. An Algebraists’ View of the Linear Recurrence Relations (Version 1, September 20, 2014). 
    PDF direct linkPDF Google Drive link.
  18. (With Benson Farb) Torelli buildings and their automorphisms (October 9, 2014). 
    PDF direct linkPDF Google Drive linkArXiv.

© The copyright holder for all materials here is Nikolai V. Ivanov, or, in the case of joint papers, he and his coauthors jointly. All rights are reserved. According to the US copyright law, these materials may be used for non-commercial purposes falling within the scope of the US fair use doctrine.