Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Nathan Geer"'
Publikováno v:
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We develop the categorical context for defining Hermitian non-semisimple TQFTs. We prove that relative Hermitian modular categories give rise to modified Hermitian WRT-TQFTs and provide numerous examples of these structures coming from the representa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b82a45b3c6c542abd04055ccac37a80
http://arxiv.org/abs/2208.14566
http://arxiv.org/abs/2208.14566
Publikováno v:
Letters in Mathematical Physics. 112
Publikováno v:
J.Pure Appl.Algebra
J.Pure Appl.Algebra, 2022, 226, pp.106815. ⟨10.1016/j.jpaa.2021.106815⟩
J.Pure Appl.Algebra, 2022, 226, pp.106815. ⟨10.1016/j.jpaa.2021.106815⟩
The second author constructed a topological ribbon Hopf algebra from the unrolled quantum group associated with the super Lie algebra $\mathfrak{sl}(2|1)$. We generalize this fact to the context of unrolled quantum groups and construct the associated
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f64d2012b24a8492dd9ba2f402f71c2
https://hal.archives-ouvertes.fr/hal-02892969
https://hal.archives-ouvertes.fr/hal-02892969
Publikováno v:
HAL
In [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFTs) using not necessarily semisimple modular categories. Here, we study projective representations of mapping class groups of surfaces defined by these TQFTs,
Publikováno v:
HAL
We endow a non-semisimple category of modules of unrolled quantum sl(2) with a Hermitian structure. We also prove that the TQFT constructed in arXiv:1202.3553 using this category is Hermitian. This gives rise to projective representations of the mapp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfcb08be46f14e8b39688f7d4f1a89d7
https://hal.archives-ouvertes.fr/hal-03428775
https://hal.archives-ouvertes.fr/hal-03428775
Publikováno v:
HAL
Selecta Mathematica (New Series)
Selecta Mathematica (New Series), Springer Verlag, 2020, 26 (2), pp.19. ⟨10.1007/s00029-020-0545-0⟩
Selecta Mathematica (New Series)
Selecta Mathematica (New Series), Springer Verlag, 2020, 26 (2), pp.19. ⟨10.1007/s00029-020-0545-0⟩
R. Kashaev and N. Reshetikhin introduced the notion of holonomy braiding extending V. Turaev's homotopy braiding to describe the behavior of cyclic representations of the unrestricted quantum group $U_qsl_2$ at root of unity. In this paper, using qua
We use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist non-degenerate finite unimodular ribbon categories. Our construction produces new topological invariants which we upgrade to 2+1-TQFTs under the additi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7b1a9ed69416758d6eb16e69502250b
https://hal.archives-ouvertes.fr/hal-02431445
https://hal.archives-ouvertes.fr/hal-02431445
Publikováno v:
Journal of Algebra
We examine two different m-traces in the category of representations over the quantum Lie superalgebra associated to $\mathfrak{sl}(m|n)$ at root of unity. The first m-trace is on the ideal of projective modules and leads to new Extended Topological
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b910c60a1d79f55f4b7c6f02a76bf112
Publikováno v:
HAL
38 pages; We examine two different m-traces in the category of representations over the quantum Lie superalgebra associated to $\mathfrak{sl}(m|n)$ at root of unity. The first m-trace is on the ideal of projective modules and leads to new Extended To
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::53e81e49cdd1bff27f3589c6c7d41659
https://hal.archives-ouvertes.fr/hal-02992272
https://hal.archives-ouvertes.fr/hal-02992272
Autor:
Cristina Ana-Maria Anghel, Nathan Geer
Publikováno v:
Journal of Knot Theory and Its Ramifications. 29:2050018
The category of finite dimensional modules over the quantum superalgebra [Formula: see text] is not semi-simple and the quantum dimension of a generic [Formula: see text]-module vanishes. This vanishing happens for any value of [Formula: see text] (e