FNS-ANR OCHoTop Project : Publications

Papers completed after the official end of the project

1. Benoit Fresse, Graph complexes and models of chain E_n-operads in odd characteristic. In Homotopical algebra and higher structures (Oberwolfach, 2024⟩. Réf. hal hal-04743028.
2. Marvin Verstraete, Pre-Lie algebras with divided powers and the Deligne groupoid in positive characteristic. Preprint arXiv:2310.20300 (2023). To appear in Algebr. Geom. Topol. Réf. hal hal-04356988.

2023

1. Alexis Virelizier (with Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand). Chromatic maps for finite tensor categories. 2023. Preprint arXiv:2305.14626 (2023). Réf. hal hal-04106253.

2022

1. Kursat Sozer, Alexis Virelizier, Monoidal categories graded by crossed modules and 3-dimensional HQFTs. Preprint arXiv:2207.06534 (2022). Published in Adv.Math. 428 (2023), pp. 109-155. Réf. hal hal-03736640.

2021

1. Sylvain Douteau, Homotopy theory of stratified spaces. Algebr. Geom. Topol. 21 (2021), no. 1, pp. 507-541.
2. Sylvain Douteau, A simplicial approach to stratified homotopy theory. Trans. Amer. Math. Soc. 374 (2021), no. 2, pp. 955-1006.
3. Sylvain Douteau, A stratified Kan-Quillen equivalence. Preprint arXiv:2102.04876 (2021).
4. Kathryn Hess (with Brooke Shipley), Invariance properties of co{H}ochschild homology. J. Pure Applied Algebra 225 (2021), no. 2.

2020

1. David Chataur (with Daniel Tanré), Natural operations in Intersection Cohomology. Preprint arXiv:2005.04960 (2020).
2. Benoit Fresse (with Thomas Willwacher), Mapping spaces for dg Hopf cooperads and homotopy automorphisms of the rationalization of E_n-operads. Preprint arXiv:2003.02939 (2020). Réf. hal hal-02502185.
3. Benoit Fresse (with Victor Turchin and Thomas Willwacher), On the rational homotopy type of embedding spaces of manifolds in Rⁿ. Preprint arXiv:2008.08146 (2020). Réf. hal hal-04407946.
4. Benoit Fresse, Lorenzo Guerra, On a notion of homotopy Segal E-infinity-Hopf cooperad. Preprint arXiv:2011.11333 (2020). Réf. hal hal-04407952.
5. Kathryn Hess (with Paul-Eugène Parent and Jonathan Scott), Twisting structures and morphisms up to strong homotopy. J. Homotopy Relat. Struct. 15 (2020), pp. 185--222.
6. Kathryn Hess (with K. Adamyk, T. Gerhardt, I. Klang and H. Kong), Computational tools for twisted topological Hochschild homology of equivariant spectra. Preprint arXiv:2001.06602 (2020), à paraître in Topology and its Applications (Proceeding of Women in Topology III).
7. Alexis Virelizier (with Vladimir Turaev), On 3-dimensional Homotopy Quantum Field Theory III: Comparison of two approaches. Int. J. Math. 31 (2020), pp. 1-57. Réf. hal hal-02423711

2019

1. Benoit Fresse, Little discs operads, graph complexes and Grothendieck-Teichmüller groups, in "Handbook of Homotopy Theory (Haynes Miller editor)". Handbooks in Mathematics Series, CRC Press/Chapman and Hall (2019), pp. 407-444. Réf. hal hal-04407926
2. Benoit Fresse (with Julien Ducoulombier and Victor Turchin), Projective and Reedy model category structures for (infinitesimal) bimodules over an operad. Preprint arXiv:1911.03890 (2019). Published in Applied Categorical Structures, 2022, 30 (5), pp.825-920. Réf. hal hal-02382918.
3. Jens Kjaer, Unstable v₁-periodic homotopy of simply connected, finite H-spaces, using goodwillie calculus. Preprint arXiv:1905.05269 (2019).
4. Alexis Virelizier (with Rinat Kashaev), Generalized Kuperberg invariants of 3-manifolds. Algebraic and Geometric Topology, 2019, 19 (5), pp. 2575-2624. Réf. hal hal-04402958.