Homotopy Theory of Moduli Spaces

Project Information

HToMS

Grant agreement ID: 756444

DOI

10.3030/756444

Project closed

EC signature date 4 October 2017

Start date 1 October 2018

End date 30 September 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 974 526,00

EU contribution

€ 974 526,00

Coordinated by

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
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 (26)

A NOTE ON RATIONAL HOMOLOGICAL STABILITY OF AUTOMORPHISMS OF MANIFOLDS

Author(s): Manuel Krannich
Published in: The Quarterly Journal of Mathematics, Issue 71/3, 2020, Page(s) 1069-1079, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmathj/haaa017

The family signature theorem

Author(s): Oscar Randal-Williams
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023, Page(s) 1-44, ISSN 0308-2105
Publisher: The RSE Scotland Foundation
DOI: 10.1017/prm.2022.91

Algebraic independence of topological Pontryagin classes

Author(s): Søren Galatius, Oscar Randal-Williams
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2023, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2023-0051

Monodromy and mapping class groups of 3-dimensional hypersurfaces

Author(s): Oscar Randal-Williams
Published in: Mathematische Annalen, 2024, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-024-02951-4

On automorphisms of high-dimensional solid tori

Author(s): Mauricio Bustamante, Oscar Randal-Williams
Published in: Geometry & Topology, Issue 28, 2024, Page(s) 1629-1692, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2024.28.1629

On diffeomorphisms of even-dimensional discs

Author(s): Alexander Kupers, Oscar Randal-Williams
Published in: Journal of the American Mathematical Society, 2024, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/1040

On the Torelli Lie algebra

Author(s): Kupers, Alexander; Randal-Williams, Oscar
Published in: Forum of mathematics, Pi, 2023, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.48550/arxiv.2106.16010

On the order of Dehn twists

Author(s): Keating, Ailsa; Randal-Williams, Oscar
Published in: New York Journal of Mathematics, 2023, ISSN 1076-9803
Publisher: Electronic Journals Project
DOI: 10.17863/cam.85728

Configuration spaces as commutative monoids

Author(s): Oscar Randal‐Williams
Published in: Bulletin of the London Mathematical Society, Issue 56, 2024, Page(s) 2847-2862, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.13104

Framings of W g,1

Author(s): Alexander Kupers, Oscar Randal-Williams
Published in: The Quarterly Journal of Mathematics, Issue 72/3, 2021, Page(s) 1029-1053, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haaa057

Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic

Author(s): Manuel Krannich, Oscar Randal-Williams
Published in: Comptes Rendus. Mathématique, Issue 358/4, 2020, Page(s) 469-473, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.5802/crmath.61

The cohomology of Torelli groups is algebraic

Author(s): Alexander Kupers, Oscar Randal-Williams
Published in: Forum of Mathematics, Sigma, Issue 8, 2020, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2020.41

The Alexander Trick for Homology Spheres

Author(s): Søren Galatius, Oscar Randal-Williams
Published in: International Mathematics Research Notices, Issue 2024, 2024, Page(s) 14689-14703, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnae255

On the Cohomology of Torelli Groups. II

Author(s): Oscar Randal-Williams
Published in: International Mathematics Research Notices, Issue 2024, 2024, Page(s) 2339-2381, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad143

Some Hermitian $K$-groups via geometric topology

Author(s): Manuel Krannich, Alexander Kupers
Published in: Proceedings of the American Mathematical Society, 2021, Page(s) 1, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15098

Classical homological stability from the point of view of cells

Author(s): Oscar Randal-Williams
Published in: Algebraic & Geometric Topology, Issue 24, 2024, Page(s) 1691-1712, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2024.24.1691

A homological approach to pseudoisotopy theory. I

Author(s): Manuel Krannich
Published in: Inventiones mathematicae, 2022, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.17863/cam.81739

ON THE COHOMOLOGY OF TORELLI GROUPS

Author(s): ALEXANDER KUPERS, OSCAR RANDAL-WILLIAMS
Published in: Forum of Mathematics, Pi, Issue 8, 2020, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.1017/fmp.2020.5

Operations on stable moduli spaces

Author(s): Søren Galatius, Oscar Randal-Williams
Published in: Research in the Mathematical Sciences, Issue 7/2, 2020, ISSN 2522-0144
Publisher: Springer
DOI: 10.1007/s40687-020-00207-6

THE POSITIVE SCALAR CURVATURE COBORDISM CATEGORY

Author(s): Johannes Ebert; Oscar Randal-Williams
Published in: Duke mathematical journal, 2022, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.17863/cam.72463

Embedding calculus for surfaces

Author(s): Manuel Krannich, Alexander Kupers
Published in: Algebraic & Geometric Topology, Issue 24, 2024, Page(s) 981-1018, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2024.24.981

Mapping class groups of highly connected $(4k+2)$-manifolds

Author(s): Manuel Krannich
Published in: Selecta Mathematica, 2020, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.17863/cam.57481

$E_{2}$-cells and mapping class groups

Author(s): Søren Galatius, Alexander Kupers, Oscar Randal-Williams
Published in: Publications mathématiques de l'IHÉS, Issue 130, 2024, Page(s) 1-61, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-019-00107-8

An $HP^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus

Author(s): Manuel Krannich, Alexander Kupers, Oscar Randal-Williams
Published in: Comptes Rendus. Mathématique, 2021, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.17863/cam.60461

Finiteness properties of automorphism spaces of manifolds with finite fundamental group

Author(s): Mauricio Bustamante; Manuel Krannich; Alexander Kupers
Published in: Mathematische Annalen, 2023, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-023-02594-x

Tautological rings and stabilisation

Author(s): Oscar Randal-Williams
Published in: Glasgow Mathematical Journal, 2021, ISSN 0017-0895
Publisher: Cambridge University Press
DOI: 10.1017/s0017089521000045

Book chapters (2)

Moduli spaces of manifolds: a user's guide

Author(s): Søren Galatius, Oscar Randal-Williams
Published in: Handbook of Homotopy Theory, 2020, Page(s) 443-485, ISBN 9781351251624
Publisher: Chapman and Hall/CRC
DOI: 10.1201/9781351251624-12

Diffeomorphisms of discs

Author(s): Oscar Randal-Williams
Published in: International Congress of Mathematicians, 2024, Page(s) 2856-2878
Publisher: EMS Press
DOI: 10.4171/icm2022/16