- NEW! Cubes and cubical chains and cochains in combinatorial topology
(September 1, 2019).
PDF direct link. PDF Google Drive link. - NEW! The lemmas of Alexander and Sperner
(August 24, 2019).
PDF direct link. PDF Google Drive link; ArXiv. - NEW! Sperner's lemma, Brouwer's fixed-point theorem, and cohomology
(June 29, 2009. Rewritten and a minor gap is filled - August 24, 2019).
PDF direct link. PDF Google Drive link; ArXiv. - Beyond Sperner's lemma (October 10, 2017; minor edits - October 15, 2017).
Revised version to appear.
PDF direct link. PDF Google Drive link; ArXiv. - Notes on the bounded cohomology theory (August 3, 2017. Minor edits and the title change - August 17, 2017).
PDF direct link. PDF Google Drive link; ArXiv. - The de Bruijn-Erdös-Hanani theorem (May 12, 2017).
PDF direct link. PDF Google Drive link; ArXiv. - The de Bruijn-Erdös theorem in incidence geometry via Ph. Hall's marriage theorem (April 12, 2017. Minor revisions - April 23, 2017).
PDF direct link. PDF Google Drive link; ArXiv. - 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 link. PDF Google Drive link. ArXiv. - The conformal dilatation and the Beltrami forms over quadratic fields extensions (January 21, 2017).
PDF direct link. PDF Google Drive link; ArXiv. - 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 link. PDF Google Drive link; ArXiv. - A geometric interpretation of the complex dilatation (December 21, 1995).
Revised November 6, 2016: reformatting and minor edits.
PDF direct link. PDF Google Drive link. - Elements of Torelli topology: II. The extension problem (July 8, 2016).
Uploaded September 5, 2016.
PDF direct link. PDF Google Drive link. ArXiv. - Elements of Torelli topology: I. The rank of abelian subgroups (June 24, 2016).
Uploaded September 5, 2016.
PDF direct link. PDF Google Drive link. ArXiv. - The Tutte expansion revisited (March 10, 2016).
Revised April 12, 2016. PDF direct link. PDF Google Drive link. ArXiv. - 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 link. PDF Google Drive link. ArXiv. - Affine planes, ternary rings, and examples of non-Desarguesian planes (October 8, 2014).
Revised April 15, 2016: minor edits.
PDF direct link. PDF Google Drive link. ArXiv. - The virtual cohomology dimension of Teichmüller modular groups: the first results and a road not taken (September 30, 2015).
PDF direct link. PDF Google Drive link. ArXiv. - 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 link. PDF Google Drive link. - An Algebraists’ View of the Linear Recurrence Relations (Version 2, December 14, 2014).
PDF direct link. PDF Google Drive link. - An Algebraists’ View of the Linear Recurrence Relations (Version 1, September 20, 2014).
PDF direct link. PDF Google Drive link. - (With Benson Farb) Torelli buildings and their automorphisms (October 9, 2014).
PDF direct link. PDF Google Drive link. ArXiv.
© 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.
