A new proof of the virtual Haken conjecture

A new direct proof of the Virtual Haken Conjecture, which asserts that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group has a finite cover that is Haken, will be given.

Publication Details

Journal
ArXiv.org
Published
2025-10-01
Primary Topic
Bacterial Identification and Susceptibility Testing
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A new proof of the virtual Haken conjecture

ArXiv.org
Bacterial Identification and Susceptibility Testing
article

A new proof of the virtual Haken conjecture

article en

Abstract

A new direct proof of the Virtual Haken Conjecture, which asserts that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group has a finite cover that is Haken, will be given.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 40%
Bacterial Identification and Susceptibility Testing
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A new proof of the virtual Haken conjecture · ArXiv.org (2025) | TGRS Research Map | TGRS