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

Zeta statistics and Hadamard functions

Autorzy: Margaret Bilu; Ronno Das; Sean Howe
Opublikowane w: Advances in Mathematics, Numer 1, 2022, ISSN 0001-8708
Wydawca: Academic Press
DOI: 10.1016/j.aim.2022.108556

Moduli spaces of Riemann surfaces as Hurwitz spaces

Autorzy: Bianchi, Andrea
Opublikowane w: Advances in Mathematics, Numer 5, 2023, ISSN 0001-8708
Wydawca: Academic Press
DOI: 10.1016/j.aim.2023.109217

An upper bound on the topological complexity of discriminantal varieties

Autorzy: Bianchi, Andrea
Opublikowane w: Homology, Homotopy and Applications, Numer 1, 2022, Strona(/y) 161-176, ISSN 1532-0073
Wydawca: International Press
DOI: 10.4310/hha.2022.v24.n1.a9

Classification of Consistent Systems of Handlebody Group Representations

Autorzy: Müller, L.; Woike, L.
Opublikowane w: International Mathematics Research Notices, Numer 1, 2024, ISSN 1073-7928
Wydawca: Oxford University Press
DOI: 10.1093/imrn/rnad178

The diffeomorphism group of the solid closed torus and Hochschild homology

Autorzy: Müller, Lukas; Woike, Lukas
Opublikowane w: Proceedings of the American Mathematical Society, Numer 3, 2023, ISSN 0002-9939
Wydawca: American Mathematical Society
DOI: 10.1090/proc/16134

A Wilson line realization of quantum groups

Autorzy: Nanna Aamand; Dani Kaufman
Opublikowane w: Letters in Mathematical Physics, Numer 3, 2024, Strona(/y) Paper No. 12, 19, ISSN 0377-9017
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s11005-023-01756-x

On generators and relations of the rational cohomology of Hilbert schemes

Autorzy: Andrea Bianchi; Alexander Mangulad Christgau; Jonathan Sejr Pedersen
Opublikowane w: Journal of Algebraic Combinatorics, Numer 1, 2023, ISSN 0925-9899
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10801-022-01201-7

Product and coproduct in string topology

Autorzy: Hingston, Nancy; Wahl, Nathalie
Opublikowane w: Annales Scientifiques de l'Ecole Normale Supérieure, Numer 5, 2023, Strona(/y) 1381--1447, ISSN 0012-9593
Wydawca: Elsevier BV
DOI: 10.24033/asens.2558

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

Autorzy: Thomas A. Wasserman
Opublikowane w: Journal of Pure and Applied Algebra, Numer 224/8, 2020, Strona(/y) 106348, ISSN 0022-4049
Wydawca: Elsevier BV
DOI: 10.1016/j.jpaa.2020.106348

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

Autorzy: Lukas Müller; Lukas Woike
Opublikowane w: Quarterly Journal of Mathematics, Numer 6, 2023, ISSN 0033-5606
Wydawca: Oxford University Press
DOI: 10.1093/qmath/haac015

Forms over fields and Witt's lemma

Autorzy: David Sprehn, Nathalie Wahl
Opublikowane w: MATHEMATICA SCANDINAVICA, Numer 126/3, 2020, Strona(/y) 401-423, ISSN 0025-5521
Wydawca: Mathematica Scandinavica
DOI: 10.7146/math.scand.a-120488

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

Autorzy: Thomas A. Wasserman
Opublikowane w: Advances in Mathematics, 2020, ISSN 0001-8708
Wydawca: Elsevier
DOI: 10.1016/j.aim.2020.107090

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

Autorzy: Schweigert, Christoph; Woike, Lukas
Opublikowane w: Advances in Mathematics, Numer 1, 2023, ISSN 0001-8708
Wydawca: Academic Press
DOI: 10.1016/j.aim.2023.109006

Homological stability for classical groups

Autorzy: David Sprehn, Nathalie Wahl
Opublikowane w: Transactions of the American Mathematical Society, Numer 373/7, 2020, Strona(/y) 4807-4861, ISSN 0002-9947
Wydawca: American Mathematical Society
DOI: 10.1090/tran/8030

The differential graded Verlinde formula and the Deligne Conjecture

Autorzy: Schweigert, Christoph; Woike, Lukas
Opublikowane w: Proceedings of the London Mathematical Society, Numer 4, 2023, ISSN 0024-6115
Wydawca: Oxford University Press
DOI: 10.1112/plms.12518

Vertical configuration spaces and their homology

Autorzy: Andrea Bianchi; Florian Kranhold
Opublikowane w: The Quarterly Journal of Mathematics, Numer 1, 2022, ISSN 0033-5606
Wydawca: Oxford University Press
DOI: 10.48550/arxiv.2103.12137

The Trace Field Theory of a Finite Tensor Category

Autorzy: Christoph Schweigert; Lukas Woike
Opublikowane w: Algebras and Representation Theory, Numer 5, 2023, ISSN 1386-923X
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10468-022-10147-0

String topology in three flavors

Autorzy: Naef, Florian; Rivera, Manuel; Wahl, Nathalie
Opublikowane w: EMS Surveys in Mathematical Sciences, Numer 8, 2023, ISSN 2308-2151
Wydawca: EMS Press
DOI: 10.4171/emss/72

Mapping class group actions on configuration spaces and the Johnson filtration

Autorzy: Andrea Bianchi; Jeremy Miller; Jennifer Wilson
Opublikowane w: 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, Numer 7, 2022, ISSN 0002-9947
Wydawca: American Mathematical Society
DOI: 10.1090/tran/8637

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

Autorzy: Sroka, Robin Janik
Opublikowane w: 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 ., Numer 1, 2021
Wydawca: University of Copenhagen

An infinity operad of normalized cacti

Autorzy: Basualdo Bonatto, L; Chettih, S; Linton, A; Raynor, S; Robertson, M; Wahl, N
Opublikowane w: Topology and its Applications, Numer 12, 2022
Wydawca: Elsevier
DOI: 10.48550/arxiv.2007.01588

Homological stability: a tool for computations

Autorzy: Wahl, Nathalie
Opublikowane w: International Congress of Mathematicians ISBN: 9783985470624, Numer 3, 2023, ISBN 978-3-98547-062-4
Wydawca: EMS Press
DOI: 10.4171/icm2022/137

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