Homotopy Theory of Moduli Spaces

Publicaciones

A NOTE ON RATIONAL HOMOLOGICAL STABILITY OF AUTOMORPHISMS OF MANIFOLDS

Autores: Manuel Krannich
Publicado en: The Quarterly Journal of Mathematics, Edición 71/3, 2020, Página(s) 1069-1079, ISSN 0033-5606
Editor: Oxford University Press
DOI: 10.1093/qmathj/haaa017

Algebraic independence of topological Pontryagin classes

Autores: Søren Galatius, Oscar Randal-Williams
Publicado en: Journal für die reine und angewandte Mathematik (Crelles Journal), 2023, ISSN 0075-4102
Editor: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2023-0051

On automorphisms of high-dimensional solid tori

Autores: Mauricio Bustamante, Oscar Randal-Williams
Publicado en: Geometry & Topology, Edición 28, 2024, Página(s) 1629-1692, ISSN 1465-3060
Editor: University of Warwick
DOI: 10.2140/gt.2024.28.1629

On the Torelli Lie algebra

Autores: Kupers, Alexander; Randal-Williams, Oscar
Publicado en: Forum of mathematics, Pi, 2023, ISSN 2050-5086
Editor: Cambridge University Press
DOI: 10.48550/arxiv.2106.16010

On the order of Dehn twists

Autores: Keating, Ailsa; Randal-Williams, Oscar
Publicado en: New York Journal of Mathematics, 2023, ISSN 1076-9803
Editor: Electronic Journals Project
DOI: 10.17863/cam.85728

Configuration spaces as commutative monoids

Autores: Oscar Randal‐Williams
Publicado en: Bulletin of the London Mathematical Society, Edición 56, 2024, Página(s) 2847-2862, ISSN 0024-6093
Editor: Oxford University Press
DOI: 10.1112/blms.13104

Framings of W g,1

Autores: Alexander Kupers, Oscar Randal-Williams
Publicado en: The Quarterly Journal of Mathematics, Edición 72/3, 2021, Página(s) 1029-1053, ISSN 0033-5606
Editor: Oxford University Press
DOI: 10.1093/qmath/haaa057

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

Autores: Manuel Krannich, Oscar Randal-Williams
Publicado en: Comptes Rendus. Mathématique, Edición 358/4, 2020, Página(s) 469-473, ISSN 1631-073X
Editor: Elsevier Masson
DOI: 10.5802/crmath.61

The cohomology of Torelli groups is algebraic

Autores: Alexander Kupers, Oscar Randal-Williams
Publicado en: Forum of Mathematics, Sigma, Edición 8, 2020, ISSN 2050-5094
Editor: Cambridge University Press
DOI: 10.1017/fms.2020.41

On the Cohomology of Torelli Groups. II

Autores: Oscar Randal-Williams
Publicado en: International Mathematics Research Notices, Edición 2024, 2024, Página(s) 2339-2381, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnad143

Some Hermitian $K$-groups via geometric topology

Autores: Manuel Krannich, Alexander Kupers
Publicado en: Proceedings of the American Mathematical Society, 2021, Página(s) 1, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/15098

Classical homological stability from the point of view of cells

Autores: Oscar Randal-Williams
Publicado en: Algebraic & Geometric Topology, Edición 24, 2024, Página(s) 1691-1712, ISSN 1472-2747
Editor: Geometry & Topology Publications
DOI: 10.2140/agt.2024.24.1691

A homological approach to pseudoisotopy theory. I

Autores: Manuel Krannich
Publicado en: Inventiones mathematicae, 2022, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.17863/cam.81739

ON THE COHOMOLOGY OF TORELLI GROUPS

Autores: ALEXANDER KUPERS, OSCAR RANDAL-WILLIAMS
Publicado en: Forum of Mathematics, Pi, Edición 8, 2020, ISSN 2050-5086
Editor: Cambridge University Press
DOI: 10.1017/fmp.2020.5

Operations on stable moduli spaces

Autores: Søren Galatius, Oscar Randal-Williams
Publicado en: Research in the Mathematical Sciences, Edición 7/2, 2020, ISSN 2522-0144
Editor: Springer
DOI: 10.1007/s40687-020-00207-6

THE POSITIVE SCALAR CURVATURE COBORDISM CATEGORY

Autores: Johannes Ebert; Oscar Randal-Williams
Publicado en: Duke mathematical journal, 2022, ISSN 0012-7094
Editor: Duke University Press
DOI: 10.17863/cam.72463

Embedding calculus for surfaces

Autores: Manuel Krannich, Alexander Kupers
Publicado en: Algebraic & Geometric Topology, Edición 24, 2024, Página(s) 981-1018, ISSN 1472-2747
Editor: Geometry & Topology Publications
DOI: 10.2140/agt.2024.24.981

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

Autores: Manuel Krannich
Publicado en: Selecta Mathematica, 2020, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.17863/cam.57481

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

Autores: Manuel Krannich, Alexander Kupers, Oscar Randal-Williams
Publicado en: Comptes Rendus. Mathématique, 2021, ISSN 1631-073X
Editor: Elsevier Masson
DOI: 10.17863/cam.60461

Finiteness properties of automorphism spaces of manifolds with finite fundamental group

Autores: Mauricio Bustamante; Manuel Krannich; Alexander Kupers
Publicado en: Mathematische Annalen, 2023, ISSN 0025-5831
Editor: Springer Verlag
DOI: 10.1007/s00208-023-02594-x

Tautological rings and stabilisation

Autores: Oscar Randal-Williams
Publicado en: Glasgow Mathematical Journal, 2021, ISSN 0017-0895
Editor: Cambridge University Press
DOI: 10.1017/s0017089521000045

Moduli spaces of manifolds: a user's guide

Autores: Søren Galatius, Oscar Randal-Williams
Publicado en: Handbook of Homotopy Theory, 2020, Página(s) 443-485, ISBN 9781351251624
Editor: Chapman and Hall/CRC
DOI: 10.1201/9781351251624-12

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