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

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

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

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

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

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

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