Fibring of manifolds and groups

Project Information

FIBRING

Grant agreement ID: 850930

DOI

10.3030/850930

Project closed

EC signature date 18 September 2019

Start date 1 July 2020

End date 30 November 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 498 660,00

EU contribution

€ 1 498 660,00

Coordinated by

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (38)

The Surface Group Conjectures for groups with two generators

Author(s): Giles Gardam; Dawid Kielak; Alan Logan
Published in: Mathematical Research Letters, 2023, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2023.v30.n1.a5

Coherence for elementary amenable groups

Author(s): Sam Hughes, Dawid Kielak, Peter Kropholler, Ian Leary
Published in: Proceedings of the American Mathematical Society, 2024, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16656

On the profinite rigidity of free and surface groups

Author(s): Ismael Morales
Published in: Mathematische Annalen, Issue 390, 2024, Page(s) 1507-1540, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-023-02785-6

Profinite rigidity of fibring

Author(s): Sam Hughes, Dawid Kielak
Published in: Revista Matemática Iberoamericana, Issue 41, 2025, Page(s) 1305-1336, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1524

Homology growth of polynomially growing mapping tori

Author(s): Naomi Andrew, Yassine Guerch, Sam Hughes, Monika Kudlinska
Published in: Groups, Geometry, and Dynamics, 2025, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ggd/877

On the coherence of one-relator groups and their group algebras

Author(s): Andrei Jaikin-Zapirain, Marco Linton
Published in: Annals of Mathematics, Issue 201, 2025, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2025.201.3.4

Group rings of three-manifold groups

Author(s): Dawid Kielak, Marco Linton
Published in: Proceedings of the American Mathematical Society, 2023, ISSN 1088-6826
Publisher: AMS
DOI: 10.1090/proc/16716

Hyperbolically embedded subgroups and quasi-isometries of pairs

Author(s): Sam Hughes, Eduardo Martínez-Pedroza
Published in: Canadian Mathematical Bulletin, Issue 66, 2024, Page(s) 827-843, ISSN 0008-4395
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008439523000012

The Hanna Neumann conjecture for graphs of free groups with cyclic edge groups

Author(s): Sam P. Fisher, Ismael Morales
Published in: Compositio Mathematica, Issue 161, 2025, Page(s) 1576-1614, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x25007444

Kazhdan constants for Chevalley groups over the integers

Author(s): Marek Kaluba, Dawid Kielak
Published in: Revista Matemática Iberoamericana, Issue 41, 2025, Page(s) 1253-1269, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1534

Homological growth of Artin kernels in positive characteristic

Author(s): Fisher, S.; Hughes, S.; Leary, I.J.
Published in: Math. Ann., 2023, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-023-02663-1

Cohomology of group theoretic Dehn fillings II

Author(s): Nansen Petrosyan, Bin Sun
Published in: Advances in Mathematics, Issue 437, 2023, Page(s) 109412, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109412

Improved algebraic fibrings

Author(s): Sam P. Fisher
Published in: Compositio Mathematica, Issue 160, 2024, Page(s) 2203-2227, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x24007309

Coboundary expansion and Gromov hyperbolicity

Author(s): Dawid Kielak, Piotr W. Nowak
Published in: Groups, Geometry, and Dynamics, 2025, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ggd/924

Division rings for group algebras of virtually compact special groups and $3$-manifold groups

Author(s): Sam P. Fisher, Pablo Sánchez-Peralta
Published in: Journal of Combinatorial Algebra, 2025, ISSN 2415-6302
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/jca/89

Lifting subgroups of PSL₂ to SL₂ over local fields

Author(s): Naomi Andrew, Matthew J. Conder, Ari Markowitz, Jeroen Schillewaert
Published in: Journal of Group Theory, 2025, ISSN 1433-5883
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jgth-2024-0064

A hyperbolic free-by-cyclic group determined by its finite quotients

Author(s): Naomi Andrew, Paige Hillen, Robert Alonzo Lyman, Catherine Eva Pfaff
Published in: Glasgow Mathematical Journal, Issue 67, 2025, Page(s) 500-502, ISSN 0017-0895
Publisher: Cambridge University Press
DOI: 10.1017/s0017089525000096

Wreath-like products of groups and their von Neumann algebras I: W^∗-superrigidity

Author(s): Ionuţ Chifan, Adrian Ioana, Denis Osin, Bin Sun
Published in: Annals of Mathematics, Issue 198, 2023, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2023.198.3.6

Invariant subalgebras of von Neumann algebras arising from negatively curved groups

Author(s): Ionuţ Chifan, Sayan Das, Bin Sun
Published in: Journal of Functional Analysis, Issue 285, 2023, Page(s) 110098, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2023.110098

Profinite properties of residually free groups

Author(s): Ismael Morales
Published in: Communications in Algebra, 2024, Page(s) 1-8, ISSN 0092-7872
Publisher: Marcel Dekker Inc.
DOI: 10.1080/00927872.2024.2422992

Isoperimetric inequalities for Poincaré duality groups

Author(s): Dawid Kielak; Peter Kropholler
Published in: Proc. Amer. Math. Soc., Issue 1, 2021, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15596

Algebraic fibring of a hyperbolic 7‐manifold

Author(s): Sam P. Fisher
Published in: Bulletin of the London Mathematical Society, Issue 1, 2022, ISSN 1469-2120
Publisher: Wiley
DOI: 10.1112/blms.12795

Spectral gap and origami expanders

Author(s): Goulnara Arzhantseva, Dawid Kielak, Tim de Laat, Damian Sawicki
Published in: Commentarii Mathematici Helvetici, Issue 100, 2025, Page(s) 507-557, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/589

Quasi-BNS invariants

Author(s): Nicolaus Heuer, Dawid Kielak
Published in: Groups, Geometry, and Dynamics, 2025, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ggd/939

Residually rationally solvable one‐relator groups

Author(s): Marco Linton
Published in: Bulletin of the London Mathematical Society, Issue 58, 2026, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.70210

Profinite rigidity of affine Coxeter groups

Author(s): Samuel M. Corson, Sam Hughes, Philip Möller, Olga Varghese
Published in: Mathematische Zeitschrift, Issue 311, 2025, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-025-03799-3

Virtually Free-by-Cyclic Groups

Author(s): Dawid Kielak, Marco Linton
Published in: Geometric and Functional Analysis, Issue 34, 2024, Page(s) 1580-1608, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-024-00687-6

Regularity of quasigeodesics characterizes hyperbolicity

Author(s): Sam Hughes, Patrick S. Nairne, Davide Spriano
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2025, Page(s) 1-14, ISSN 0308-2105
Publisher: The RSE Scotland Foundation
DOI: 10.1017/prm.2024.132

Commensurating HNN-extensions: Hierarchical hyperbolicity and biautomaticity

Author(s): Sam Hughes, Motiejus Valiunas
Published in: Commentarii Mathematici Helvetici, Issue 99, 2024, Page(s) 397-436, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/572

Hyperbolic one-relator groups

Author(s): Marco Linton
Published in: Canadian Journal of Mathematics, 2025, Page(s) 1-27, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008414x24000427

Non-Vanishing Unitary Cohomology of Low-Rank Integral Special Linear Groups

Author(s): Benjamin Brück, Sam Hughes, Dawid Kielak, Piotr Mizerka
Published in: International Mathematics Research Notices, Issue 2025, 2025, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaf230

On profinite rigidity amongst free‐by‐cyclic groups I: The generic case

Author(s): Sam Hughes, Monika Kudlinska
Published in: Proceedings of the London Mathematical Society, Issue 130, 2025, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.70059

On two‐generator subgroups of mapping torus groups

Author(s): Naomi Andrew, Edgar A. Bering IV, Ilya Kapovich, Stefano Vidussi, Peter Shalen
Published in: Journal of the London Mathematical Society, Issue 112, 2025, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.70226

Higher topological complexity of hyperbolic groups

Author(s): Hughes, S; Li, K
Published in: Journal of Applied and Computational Topology, Issue 1, 2022, ISSN 2367-1726
Publisher: Springer
DOI: 10.1007/s41468-022-00088-4

Algebraically hyperbolic groups

Author(s): Giles Gardam, Dawid Kielak, Alan D. Logan
Published in: Groups, Geometry, and Dynamics, 2025, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ggd/907

Agrarian and $$\ell ^2$$-Betti numbers of locally indicable groups, with a twist

Author(s): Dawid Kielak, Bin Sun
Published in: Mathematische Annalen, Issue 390, 2024, Page(s) 3567-3619, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-024-02835-7

Lattices in a product of trees, hierarchically hyperbolic groups, and virtual torsion-freeness

Author(s): Hughes, S
Published in: Bulletin of the London Mathematical Society, Issue 1, 2022, ISSN 1469-2120
Publisher: Wiley
DOI: 10.48550/arxiv.2105.02847

TORSION HOMOLOGY GROWTH OF POLYNOMIALLY GROWING FREE-BY-CYCLIC GROUPS

Author(s): Naomi Andrew, Sam Hughes, Monika Kudlinska
Published in: Rocky Mountain Journal of Mathematics, Issue 54, 2024, ISSN 0035-7596
Publisher: Rocky Mountain Mathematics Consortium
DOI: 10.1216/rmj.2024.54.933

Conference proceedings (1)

Stallings's Fibring Theorem and $\mathrm{PD}^3$-pairs

Author(s): Bridson, Martin R.; Kielak, Dawid; Kudlinska, Monika
Published in: Topology at Infinity of Discrete Groups, 2025
Publisher: AMS
DOI: 10.48550/arxiv.2307.10725