Zobrazeno 1 - 10
of 565
pro vyhledávání: '"Queffelec, P."'
Autor:
Bapat, Asilata, Queffelec, Hoel
We discuss the extension of the faithfulness question for the Burau representation of braid groups to the case of Artin--Tits groups. We prove that the Burau representation is not faithful in affine type $\tilde{A_3}$, and not faithful over several f
Externí odkaz:
http://arxiv.org/abs/2409.00144
Autor:
Queffelec, Hoel
We recover Reidemeister's theorem using smooth functions and transversality.
Comment: My goal here was to give an easily readable proof for the Reidemeister theorem based on transversality techniques. I hope it can prove useful when learning or
Comment: My goal here was to give an easily readable proof for the Reidemeister theorem based on transversality techniques. I hope it can prove useful when learning or
Externí odkaz:
http://arxiv.org/abs/2406.18203
Autor:
Queffelec, Hoel
These are lecture notes from a lecture series given at CIRM in the Fall 2023. They give a down-to-earth introduction to Khovanov and Seidel's categorical representation of Artin-Tits groups, emphasizing the fact that it is all explicitly computable.
Externí odkaz:
http://arxiv.org/abs/2405.14298
Since their introduction in 1997, the Hardy spaces of Dirichlet series have been broadly and deeply studied. The increasing interest sparked by these Banach spaces of Dirichlet series motivated the introduction of new such spaces, as the Bergman spac
Externí odkaz:
http://arxiv.org/abs/2402.12524
The theory of Banach spaces of Dirichlet series has drawn an increasing attention in the recent 25 years. One of the main interest of this new theory is that of defining analogues of the classical spaces of analytic functions on the unit disc. In thi
Externí odkaz:
http://arxiv.org/abs/2402.12523
We give a complete characterization of the sequences $\beta = (\beta_n)$ of positive numbers for which all composition operators on $H^2 (\beta)$ are bounded, where $H^2 (\beta)$ is the space of analytic functions $f$ on the unit disk ${\mathbb D}$ s
Externí odkaz:
http://arxiv.org/abs/2312.03482
We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for which sequences $\beta$ every symbol $\varphi \colon \mathbb{D} \to \mathbb{D}$ with $\varphi \in H^2 (\beta)$ induces a bounded composition operator $C
Externí odkaz:
http://arxiv.org/abs/2311.01062
This paper is a complement to our previous paper [21]. It surveys the works on the Furstenberg set $S=\{2^{m}3^{n}: n\ge 0, m\ge 0\}$ and its random version $T$. We also present some new results. For example, it is proved that $T$ almost surely conta
Externí odkaz:
http://arxiv.org/abs/2303.06850
We show that the symbol of a bounded composition operator on the Wiener algebra of Dirichlet series does not need to belong to this algebra. Our example even gives an absolutely summing (hence compact) composition operator.
Externí odkaz:
http://arxiv.org/abs/2212.06685
Autor:
Queffelec, Hoel
We prove full functoriality of Khovanov homology for tangled framed gl2 webs. We use this functoriality result to prove a strong positivity result for (orientable) surface skein algebras. The argument goes categorical and consists in proving that so-
Externí odkaz:
http://arxiv.org/abs/2209.08794