Research profile

Nikolai Erokhovets

Works on geometrization.

NP-RC-675999

RSS

Elsewhere arXiv listing

From the tags on their papers

Research focus

The topics of these papers. Tags are assigned automatically, so they point to a subject rather than judge the work.

Geometrization

Newest first

Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.GTv2arXiv:2011.11628

Canonical geometrization of orientable -manifolds defined by vector-colourings of -polytopes

Nikolai Erokhovets

In short geometrization conjecture of W.\,Thurston (finally proved by G. Perelman) says that any oriented -manifold can be canonically partitioned into pieces, which have a geometric structure of one of the eight types. In the seminal paper (1991) M.\,W.\,Davis and T.\,Januszkiewicz introduced a wide class of -dimensional manifolds – small covers over simple -polytopes. We give a complete answer to the following problem: to build an explicit canonical decomposition for any orientable -manifold defined by a vector-colouring of a simple -polytope, in particular for a small cover. The proof is based on analysis of results in this direction obtained before by different authors.

Geometrization
View paper Connections

This number in this community

About this page

Is this your page?

It is yours to shape. Send anything that should be added or corrected: your preferred spelling, an ORCID, a homepage, a line about your work. Or ask for the page to be removed. Someone reads every message. Mention NP-RC-675999 so it reaches the right page.

Add or correct informationAdd an ORCIDTools for this page

What this page covers

NP-RC-675999 is Nikolai Erokhovets's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.