On the boundaries of highly connected, almost closed manifolds
R Burklund, J Hahn, A Senger - arXiv preprint arXiv:1910.14116, 2019 - arxiv.org
Building on work of Stolz, we prove for integers $0\le d\le 3$ and $ k> 232$ that the
boundaries of $(k-1) $-connected, almost closed $(2k+ d) $-manifolds also bound …
boundaries of $(k-1) $-connected, almost closed $(2k+ d) $-manifolds also bound …
On diffeomorphisms of even-dimensional discs
A Kupers, O Randal-Williams - Journal of the American Mathematical …, 2025 - ams.org
We determine $\pi _*(B\operatorname {Diff} _\partial (D^{2n}))\otimes\mathbb {Q} $ for $2
n\geq 6$ completely in degrees $*\leq 4n-10$, far beyond the pseudoisotopy stable range …
n\geq 6$ completely in degrees $*\leq 4n-10$, far beyond the pseudoisotopy stable range …
Mapping class groups of highly connected -manifolds
M Krannich - Selecta Mathematica, 2020 - Springer
We compute the mapping class group of the manifolds ♯^ g (S^ 2k+ 1 * S^ 2k+ 1)♯ g (S 2
k+ 1× S 2 k+ 1) for k> 0 k> 0 in terms of the automorphism group of the middle homology and …
k+ 1× S 2 k+ 1) for k> 0 k> 0 in terms of the automorphism group of the middle homology and …
Scanning the moduli of smooth hypersurfaces
A Aumonier - arXiv preprint arXiv:2311.07560, 2023 - arxiv.org
We study the locus of smooth hypersurfaces inside the Hilbert scheme of a smooth
projective complex variety. In the spirit of scanning, we construct a map to a continuous …
projective complex variety. In the spirit of scanning, we construct a map to a continuous …
Superconformal Gravity And The Topology Of Diffeomorphism Groups
Twisted four-dimensional supersymmetric Yang-Mills theory famously gives a useful point of
view on the Donaldson and Seiberg-Witten invariants of four-manifolds. In this paper we …
view on the Donaldson and Seiberg-Witten invariants of four-manifolds. In this paper we …
Finiteness properties of automorphism spaces of manifolds with finite fundamental group
M Bustamante, M Krannich, A Kupers - Mathematische Annalen, 2024 - Springer
Given a closed smooth manifold M of even dimension 2 n≥ 6 with finite fundamental group,
we show that the classifying space B Diff (M) of the diffeomorphism group of M is of finite …
we show that the classifying space B Diff (M) of the diffeomorphism group of M is of finite …
On the Torelli lie algebra
A Kupers, O Randal-Williams - Forum of Mathematics, Pi, 2023 - cambridge.org
On the Torelli Lie algebra Page 1 Forum of Mathematics, Pi (2023), Vol. 11:e13 1–47 doi:10.1017/fmp.2023.10
RESEARCH ARTICLE On the Torelli Lie algebra Alexander Kupers1 and Oscar Randal-Williams …
RESEARCH ARTICLE On the Torelli Lie algebra Alexander Kupers1 and Oscar Randal-Williams …
[PDF][PDF] Isomorphism Conjectures in K-and L-theory
W Lück - preparation, see http://www. him. uni-bonn. de …, 2024 - him-lueck.uni-bonn.de
This manuscript is not finished. Most of it is in nearly final form, whereas Chapters 8 and 25
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …
Characteristic classes for flat Diff (M)-foliations
S Hurder - arXiv preprint arXiv:2311.09160, 2023 - arxiv.org
In this work we relate the known results about the homotopy type of classifying spaces for
smooth foliations, with the homology and cohomology of the discrete group of …
smooth foliations, with the homology and cohomology of the discrete group of …
The Witt groups of extended quadratic forms over Z
D Crowley, C Nagy - arXiv preprint arXiv:2404.09189, 2024 - arxiv.org
We recall the notion of a quadratic form parameter $ Q $ over the integers and of extended
quadratic forms with values in $ Q $, which we call $ Q $-forms. Certain form parameters $ Q …
quadratic forms with values in $ Q $, which we call $ Q $-forms. Certain form parameters $ Q …