Loops and groups: Geodesics, moduli spaces, and infinite discrete groups via string topology and homological stability

Project Information

Loops and groups

Grant agreement ID: 772960

DOI

10.3030/772960

Project closed

EC signature date 15 June 2018

Start date 1 September 2018

End date 29 February 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 864 419,00

EU contribution

€ 1 864 419,00

Coordinated by

KOBENHAVNS UNIVERSITET
Denmark

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

Other (15)

Apartment classes of integral symplectic groups

Author(s): Brück, Benjamin; Sroka, Robin J.
Published in: Issue 1, 2023
Publisher: arxiv (to appear in Journal of Topology and Analysis)
DOI: 10.48550/arxiv.2305.17697

Non-trivial action of the Johnson filtration on the homology of configuration spaces

Author(s): Bianchi, Andrea; Stavrou, Andreas
Published in: Issue 1, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2208.01608

A presentation of symplectic Steinberg modules and cohomology of $\operatorname{Sp}_{2n}(\mathbb{Z})$

Author(s): Brück, Benjamin; Patzt, Peter; Sroka, Robin J.
Published in: Issue 5, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2306.03180

On the invariance of the string topology coproduct

Author(s): Hingston, Nancy; Wahl, Nathalie
Published in: Issue 2, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1908.03857

The R-Matrix in 3d Topological BF Theory

Author(s): Aamand, Nanna Havn
Published in: Issue 1, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2309.15833

On the codimension-two cohomology of $\mathrm{SL}_n(\mathbb{Z})$

Author(s): Brück, Benjamin; Miller, Jeremy; Patzt, Peter; Sroka, Robin J.; Wilson, Jennifer C. H.
Published in: Issue 5, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2204.11967

On two quotients of $S^2\times S^2$

Author(s): Bianchi, Andrea
Published in: Issue 1, 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2401.05953

The homology of a Temperley-Lieb algebra on an odd number of strands

Author(s): Sroka, Robin J.
Published in: Issue 3, 2022
Publisher: arxiv (to appear in Algebraic and Geometric Topology)
DOI: 10.48550/arxiv.2202.08799

On the top-dimensional cohomology of arithmetic Chevalley groups

Author(s): Brück, Benjamin; Rego, Yuri Santos; Sroka, Robin J.
Published in: Issue 2, 2022
Publisher: arxiv (to appear in Proceedings of the American Mathematical Society)
DOI: 10.48550/arxiv.2210.12784

Cohomological and motivic inclusion-exclusion

Author(s): Das, Ronno; Howe, Sean
Published in: Issue 1, 2022
Publisher: arxiv (to appear in Compositio Mathematica)

Simplicial bounded cohomology and stability

Author(s): Kastenholz, Thorben; Sroka, Robin J.
Published in: Issue 2, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2309.05024

The Reduced Tensor Product of Braided Tensor Categories Containing a Symmetric Fusion Category

Author(s): Wasserman, Thomas A.
Published in: Issue 1, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1910.13562

Dagger categories via anti-involutions and positivity

Author(s): Stehouwer, Luuk; Steinebrunner, Jan
Published in: Issue 1, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2304.02928

Disordered arcs and Harer stability

Author(s): Harr, Oscar; Vistrup, Max; Wahl, Nathalie
Published in: Issue 2, 2022
Publisher: arxiv (to appear in the journal Higher Structures)
DOI: 10.48550/arxiv.2211.03858

Polynomial stability of the homology of Hurwitz spaces

Author(s): Bianchi, Andrea; Miller, Jeremy
Published in: Issue 2, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2303.11194

Peer reviewed articles (20)

Zeta statistics and Hadamard functions

Author(s): Margaret Bilu; Ronno Das; Sean Howe
Published in: Advances in Mathematics, Issue 1, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108556

Moduli spaces of Riemann surfaces as Hurwitz spaces

Author(s): Bianchi, Andrea
Published in: Advances in Mathematics, Issue 5, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109217

An upper bound on the topological complexity of discriminantal varieties

Author(s): Bianchi, Andrea
Published in: Homology, Homotopy and Applications, Issue 1, 2022, Page(s) 161-176, ISSN 1532-0073
Publisher: International Press
DOI: 10.4310/hha.2022.v24.n1.a9

Classification of Consistent Systems of Handlebody Group Representations

Author(s): Müller, L.; Woike, L.
Published in: International Mathematics Research Notices, Issue 1, 2024, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad178

The diffeomorphism group of the solid closed torus and Hochschild homology

Author(s): Müller, Lukas; Woike, Lukas
Published in: Proceedings of the American Mathematical Society, Issue 3, 2023, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16134

A Wilson line realization of quantum groups

Author(s): Nanna Aamand; Dani Kaufman
Published in: Letters in Mathematical Physics, Issue 3, 2024, Page(s) Paper No. 12, 19, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-023-01756-x

On generators and relations of the rational cohomology of Hilbert schemes

Author(s): Andrea Bianchi; Alexander Mangulad Christgau; Jonathan Sejr Pedersen
Published in: Journal of Algebraic Combinatorics, Issue 1, 2023, ISSN 0925-9899
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10801-022-01201-7

Product and coproduct in string topology

Author(s): Hingston, Nancy; Wahl, Nathalie
Published in: Annales Scientifiques de l'Ecole Normale Supérieure, Issue 5, 2023, Page(s) 1381--1447, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2558

The symmetric tensor product on the Drinfeld centre of a symmetric fusion category

Author(s): Thomas A. Wasserman
Published in: Journal of Pure and Applied Algebra, Issue 224/8, 2020, Page(s) 106348, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2020.106348

Cyclic Framed Little Disks Algebras, Grothendieck–Verdier Duality And Handlebody Group Representations

Author(s): Lukas Müller; Lukas Woike
Published in: Quarterly Journal of Mathematics, Issue 6, 2023, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haac015

Forms over fields and Witt's lemma

Author(s): David Sprehn, Nathalie Wahl
Published in: MATHEMATICA SCANDINAVICA, Issue 126/3, 2020, Page(s) 401-423, ISSN 0025-5521
Publisher: Mathematica Scandinavica
DOI: 10.7146/math.scand.a-120488

The Drinfeld centre of a symmetric fusion category is 2-fold monoidal

Author(s): Thomas A. Wasserman
Published in: Advances in Mathematics, 2020, ISSN 0001-8708
Publisher: Elsevier
DOI: 10.1016/j.aim.2020.107090

Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories

Author(s): Schweigert, Christoph; Woike, Lukas
Published in: Advances in Mathematics, Issue 1, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109006

Homological stability for classical groups

Author(s): David Sprehn, Nathalie Wahl
Published in: Transactions of the American Mathematical Society, Issue 373/7, 2020, Page(s) 4807-4861, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8030

The differential graded Verlinde formula and the Deligne Conjecture

Author(s): Schweigert, Christoph; Woike, Lukas
Published in: Proceedings of the London Mathematical Society, Issue 4, 2023, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12518

Vertical configuration spaces and their homology

Author(s): Andrea Bianchi; Florian Kranhold
Published in: The Quarterly Journal of Mathematics, Issue 1, 2022, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.48550/arxiv.2103.12137

The Trace Field Theory of a Finite Tensor Category

Author(s): Christoph Schweigert; Lukas Woike
Published in: Algebras and Representation Theory, Issue 5, 2023, ISSN 1386-923X
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10468-022-10147-0

Drinfeld Centre-Crossed Braided Categories

Author(s): Thomas A. Wasserman
Published in: Higher Structures, 2021, ISSN 2209-0606
Publisher: Czech Academy of Sciences
DOI: 10.21136/hs.2021.06

String topology in three flavors

Author(s): Naef, Florian; Rivera, Manuel; Wahl, Nathalie
Published in: EMS Surveys in Mathematical Sciences, Issue 8, 2023, ISSN 2308-2151
Publisher: EMS Press
DOI: 10.4171/emss/72

Mapping class group actions on configuration spaces and the Johnson filtration

Author(s): Andrea Bianchi; Jeremy Miller; Jennifer Wilson
Published in: Bianchi , A , Miller , J & Wilson , J C H 2022 , ' Mapping class group actions on configuration spaces and the Johnson filtration ' , Transactions of the American Mathematical Society , vol. 375 , no. 8 , pp. 5461-5489 . https://doi.org/10.1090/tran/8637, Issue 7, 2022, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8637

Thesis and dissertations (1)

Patterns in the homology of algebras:Vanishing, stability, and higher structures

Author(s): Sroka, Robin Janik
Published in: Sroka , R J 2021 , Patterns in the homology of algebras : Vanishing, stability, and higher structures . Department of Mathematical Sciences, Faculty of Science, University of Copenhagen ., Issue 1, 2021
Publisher: University of Copenhagen

Conference proceedings (1)

An infinity operad of normalized cacti

Author(s): Basualdo Bonatto, L; Chettih, S; Linton, A; Raynor, S; Robertson, M; Wahl, N
Published in: Topology and its Applications, Issue 12, 2022
Publisher: Elsevier
DOI: 10.48550/arxiv.2007.01588

Book chapters (1)

Homological stability: a tool for computations

Author(s): Wahl, Nathalie
Published in: International Congress of Mathematicians ISBN: 9783985470624, Issue 3, 2023, ISBN 978-3-98547-062-4
Publisher: EMS Press
DOI: 10.4171/icm2022/137