Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Damiani, Celeste"'
Federated learning is becoming an increasingly viable and accepted strategy for building machine learning models in critical privacy-preserving scenarios such as clinical settings. Often, the data involved is not limited to clinical data but also inc
Externí odkaz:
http://arxiv.org/abs/2407.17228
Following previous work on congruence subgroups and crystallographic braid groups, we study the lower central series of congruence braid groups related to the braid group $B_3$, showing in particular that corresponding quotients are almost crystallog
Externí odkaz:
http://arxiv.org/abs/2404.05804
Autor:
Damiani, Celeste, Satoh, Shin
We introduce the notion of wen knots, and prove that the set of wen knots is a proper subset of the set of extended welded knots. Furthermore we prove that the complementary subset consists of welded knots up to horizontal mirror reflections. This al
Externí odkaz:
http://arxiv.org/abs/2403.03917
Publikováno v:
Pacific J. Math. 323 (2023) 31-65
We introduce a generalisation $LH_n$ of the ordinary Hecke algebras informed by the loop braid group $LB_n$ and the extension of the Burau representation thereto. The ordinary Hecke algebra has many remarkable arithmetic and representation theoretic
Externí odkaz:
http://arxiv.org/abs/2008.04840
Each pointed topological space has an associated $\pi$-module, obtained from action of its first homotopy group on its second homotopy group. For the $3$-ball with a trivial link with $n$-components removed from its interior, its $\pi$-module $\mathc
Externí odkaz:
http://arxiv.org/abs/1912.11898
Autor:
Damiani, Celeste, Kamada, Seiichi
In this paper we compute a presentation for the group of ring motions of the split union of a Hopf link with Euclidean components and a Euclidean circle. A key part of this work is the study of a short exact sequence of groups of ring motions of gene
Externí odkaz:
http://arxiv.org/abs/1804.02133
Autor:
Damiani, Celeste
In classical knot theory, Markov's theorem gives a way of describing all braids with isotopic closures as links in $\mathbb{R}^3$. We present a version of Markov's theorem for extended loop braids with closure in $B^3 \times S^1$, as a first step tow
Externí odkaz:
http://arxiv.org/abs/1706.09311
Autor:
Damiani, Celeste
Extended welded links are a generalization of Fenn, Rim\'{a}nyi, and Rourke's welded links. Their braided counterpart are extended welded braids, which are closely related to ribbon braids and loop braids. In this paper we prove versions of Alexander
Externí odkaz:
http://arxiv.org/abs/1705.05580
Publikováno v:
In Journal of Pure and Applied Algebra December 2021 225(12)
Autor:
Damiani, Celeste
In this paper we introduce distinct approaches to loop braid groups, a generalisation of braid groups, and unify all the definitions that have appeared so far in literature, with a complete proof of the equivalence of these definitions. These groups
Externí odkaz:
http://arxiv.org/abs/1605.02323