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Homotopy Theory of Moduli Spaces

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Publications

A NOTE ON RATIONAL HOMOLOGICAL STABILITY OF AUTOMORPHISMS OF MANIFOLDS

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

Framings of W g,1

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

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

ON THE COHOMOLOGY OF TORELLI GROUPS

Author(s): ALEXANDER KUPERS, OSCAR RANDAL-WILLIAMS
Published in: Forum of Mathematics, Pi, 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, 7/2, 2020, ISSN 2522-0144
Publisher: Springer
DOI: 10.1007/s40687-020-00207-6

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

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

Tautological rings and stabilisation

Author(s): Oscar Randal-Williams
Published in: Glasgow Mathematical JournalGlasgow, 2021, ISSN 0017-0895
Publisher: Cambridge University Press
DOI: 10.17863/cam.64536

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