Results 61 to 70 of about 321 (123)
Perverse schobers and Orlov equivalences. [PDF]
Eur J Math, 2023 Koseki N, Ouchi G.
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The homotopy type of toric arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
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Topological complexity of subgroups of Artin's braid groups
, 2016 v2: 12 pages, added Section 6 on higher topological ...
Grant, Mark, Recio-Mitter, David
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Artin's Braid Groups, Free Groups, And The Loop Space Of The 2-Sphere
, 2005 The purpose of this article is to describe connections between the loop space of the 2-sphere, and Artin's braid groups. The current article exploits Lie algebras associated to Vassiliev invariants in work of T.
J. Wu, F. R. Cohen
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Examples of centralizers in the Artin braid groups
, 2003 The goal of this paper is to construct examples of centralizers in the Artin braid groups requiring the number of generators quadratic in the number of strings. These examples disprove a recent conjecture of N. Franco and J. Gonzalez-Meneses.
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Embeddings of right-angled Artin groups
, 2010 We explicitly construct an embedding of a right-angled Artin group into a classical pure braid group. Using this we obtain a number of corollaries describing embeddings of arbitrary Artin groups into right-angled Artin groups and ...
Scrimshaw, Travis
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Braid groups, orderings, and algorithms
, 1999 We define a natural and readily calculated bi-invariant strict total ordering of the n-strand pure braid group Pn. It is defined algebraically, using the Artin decomposition of Pn as a semi-direct product of free groups, together with a specific ...
Kim, Djun Maximillian
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Artin groups and local indicability
, 2002 This thesis consists of two parts. The first part (chapters 1 and 2) consists of an introduction to theory of Coxeter groups and Artin groups. This material, for the most part, has been known for over thirty years, however, we do mention some recent ...
Mulholland, Jamie Thomas
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Cohomology of Artin groups of type ~A_n, B_n and applications
, 2008 We consider two natural embeddings between Artin groups: the group GÃn-1 of type Ãn-1 embeds into the group GBn of type Bn; GBn in turn embeds into the classical braid group Brn+1:=GAn of type An.
SALVETTI, MARIO +5 more
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Mini-Worskhop: Artin Groups meet Triangulated Categories
Artin and Coxeter groups are naturally occurring generalisations of the braid and symmetric groups respectively. However, unlike for Coxeter groups, many basic group theoretic questions remain unanswered for general Artin groups – most notably the K(π,1)-
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