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Moduli Spaces, Manifolds and Arithmetic

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Publications

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

Moduli spaces of manifolds: a user’s guide

Author(s): Soren Galatius, Oscar Randal-Williams
Published in: Handbook of Homotopy Theory, 2019, ISBN 9781-351251624
Publisher: Taylor and Francis

$E_\infty$-cells and general linear groups of finite fields

Author(s): Galatius, Soren; Kupers, Alexander; Randal-Williams, Oscar
Published in: preprint, 2018
Publisher: preprint

On families of nilpotent subgroups and associated coset posets

Author(s): Bernardo Villarreal, Simon Gritschacher
Published in: perprint, 2021
Publisher: preprint

$E_\infty$-cells and general linear groups of infinite fields

Author(s): Galatius, Soren; Kupers, Alexander; Randal-Williams, Oscar
Published in: preprint, 2020
Publisher: preprint

On the bordism group for group actions on the torus

Author(s): Sam Nariman, Kathryn Mann
Published in: preprint, 2020
Publisher: preprint

The stratified homotopy type of the reductive Borel-Serre compactification

Author(s): Jansen, Mikala Ørsnes
Published in: preprint, 2021
Publisher: preprint

Orthofibrations and monoidal adjunctions

Author(s): Hebestreit, Fabian; Linskens, Sil; Nuiten, Joost
Published in: preprint, 1, 2020
Publisher: preprint

The homotopy type of the topological cobordism category

Author(s): Gomez-Lopez, Mauricio; Kupers, Alexander
Published in: preprint, 2018
Publisher: preprint

Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings

Author(s): Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, Wolfgang Steimle
Published in: preprint, 2020
Publisher: preprint

Voronoi complexes in higher dimensions, cohomology of GLN(Z) for N≥8 and the triviality of K8(Z)

Author(s): Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers, Jacques Martinet
Published in: preprint, 2019
Publisher: preprint

Hermitian K-theory for stable ∞-categories I: Foundations

Author(s): Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, Wolfgang Steimle
Published in: preprint, 2020
Publisher: preprint

Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity

Author(s): Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, Wolfgang Steimle
Published in: preprint, 2020
Publisher: preprint

The $S_n$-equivariant top weight Euler characteristic of $M_{g,n}$

Author(s): Chan, Melody; Faber, Carel; Galatius, Soren; Payne, Sam
Published in: preprint, 2019
Publisher: preprint

Lectures on invertible field theories

Author(s): Debray, Arun; Galatius, Soren; Palmer, Martin
Published in: preprint, 2, 2019
Publisher: preprint

Cellular E_k algebras

Author(s): Søren Galatius, Alexander Kupers, Oscar Randal-Williams
Published in: preprint, 2020
Publisher: submitted to Asterisque

On the cohomology of Torelli groups

Author(s): Alexander Kupers, Oscar Randal-Williams
Published in: preprint, 2020
Publisher: submitted

TATE BLUESHIFT AND VANISHING FOR REAL ORIENTED COHOMOLOGY

Author(s): Guchuan Li
Published in: preprint, 2019
Publisher: preprint

Endotrivial modules for cyclic p-groups and generalized quaternion groups via Galois descent

Author(s): Jeroen van der Meer, Richard Wong
Published in: 2021
Publisher: preprint

Topology of moduli spaces of tropical curves with marked points

Author(s): Chan, Melody; Galatius, Soren; Payne, Sam
Published in: preprint, 2019
Publisher: preprint

The Galois action on symplectic $K$-theory

Author(s): Feng, Tony; Galatius, Soren; Venkatesh, Akshay
Published in: preprint, 2020
Publisher: preprint

Characteristic numbers of manifold bundles over surfaces with highly connected fibers

Author(s): Manuel Krannich, Jens Reinhold
Published in: Journal of the London Mathematical Society, 102/2, 2020, Page(s) 879-904, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12344

The equivariant cobordism category

Author(s): Søren Galatius, Gergely Szűcs
Published in: Journal of Topology, 14/1, 2021, Page(s) 215-257, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12181

The cohomology of Torelli groups is algebraic

Author(s): Kupers, A; Randal-Williams, Oscar
Published in: Forum of Mathematics, Sigma, 3, 2020, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.17863/cam.53994

Two models for the homotopy theory of ∞-operads

Author(s): Hongyi Chu, Rune Haugseng, Gijs Heuts
Published in: Journal of Topology, 11/4, 2018, Page(s) 857-873, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12071

Tautological classes and smooth bundles over BSU(2)

Author(s): Jens Reinhold
Published in: Proceedings of the American Mathematical Society, 147/2, 2019, Page(s) 885-895, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/14249

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

Homological stability for moduli spaces of high dimensional manifolds. II

Author(s): Soren Galatius, Oscar Randal-Williams
Published in: Annals of Mathematics, 186/1, 2017, Page(s) 127-204, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2017.186.1.4

Homological stability for moduli spaces of high dimensional manifolds. I

Author(s): Søren Galatius, Oscar Randal-Williams
Published in: Journal of the American Mathematical Society, 31/1, 2018, Page(s) 215-264, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/884

Derived Galois deformation rings

Author(s): S. Galatius, A. Venkatesh
Published in: Advances in Mathematics, 2017, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2017.08.016

On characteristic classes of exotic manifold bundles

Author(s): Manuel Krannich
Published in: Mathematische Annalen, 2019, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-019-01847-y

Goodwillie approximations to higher categories

Author(s): Gijs Heuts
Published in: Memoirs of the AMS, 2020, Page(s) accepted for publication, ISSN 0065-9266
Publisher: American Mathematical Society

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

Author(s): Søren Galatius, Alexander Kupers, Oscar Randal-Williams
Published in: Publications mathématiques de l'IHÉS, 2019, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-019-00107-8

Some finiteness results for groups of automorphisms of manifolds

Author(s): Alexander Kupers
Published in: Geometry and Topology, 2019, Page(s) to appear, ISSN 1465-3060
Publisher: University of Warwick

Homological stability of topological moduli spaces

Author(s): Manuel Krannich
Published in: Geometry & Topology, 23/5, 2019, Page(s) 2397-2474, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2019.23.2397

Tropical curves, graph complexes, and top weight cohomology of $\mathcal {M}_g$

Author(s): Melody Chan, Søren Galatius, Sam Payne
Published in: Journal of the American Mathematical Society, 2021, Page(s) 1, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/965

HIGHER GENERATION BY ABELIAN SUBGROUPS IN LIE GROUPS

Author(s): O. ANTOLÍN-CAMARENA, S. GRITSCHACHER, B. VILLARREAL
Published in: Transformation Groups, 2021, ISSN 1083-4362
Publisher: Birkhaeuser
DOI: 10.1007/s00031-021-09659-8