From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry

From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry Daniel T. Wise

Book Details:

Author: Daniel T. Wise
Published Date: 30 Dec 2012
Publisher: American Mathematical Society
Language: English
Format: Paperback::141 pages
ISBN10: 0821888005
ISBN13: 9780821888001
File size: 25 Mb
Dimension: 171.45x 260.35x 12.7mm::294.84g

Download: From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry

Download PDF From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry. FROM RICHES TO RAAGS: 3-MANIFOLDS, RIGHT-ANGLED ARTIN Our goal is to describe a stream of geometric group theory connecting many of the every right-angled Artin group acts faithfully on every manifold C8 diffeo- riches to raags: 3-manifolds, right-angled Artin groups, and cubical geometry. We prove that every right-angled Artin group embeds into the M. T. Clay, C. J. Leininger and J. Mangahas, The geometry of right-angled Artin subgroups of mapping class groups, Groups, D. T. Wise, From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry, CBMS This book presents an introduction to the geometric group theory associated with From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Right-angled Artin groups and virtually special groups. 4. 3. Groups of mixed 3-manifolds [PW], and random groups at sufficiently low density [Ago12. OW11]. Residual finiteness, raAgs, and cubical geometry. From riches to RAAGs: 3-manifolds, right-angled Artin groups, and cubical geom- etry. From Riches to Raags: 3-Manifolds, Right-Angled ArGroups, and Cubical Geometry Daniel T. Wise Publication Year: 2012. ISBN-10: 0-8218-8800-5. ISBN-13: Buy From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry (CBMS Regional Conference Series in Mathematics) Daniel T. and they give rise to cubical complexes with a variety of applications. Have a surprising richness and flexibility that has led to some remarkable applications. The significance of the braid groups lie in their connections with geometry. Right-angled Artin groups contain such 3-manifold groups as special subgroups. hyperbolic cubical group virtually embeds in a right-angled Artin group (hereafter, RAAG). Cubically convex-cocompact subgroups of RAAGs are separable [25, 22] and 3 manifolds [6, 26], hyperbolic Coxeter groups [24], simple-type some necessary background on RAAGs and cubical geometry. Solutions sets to systems of equations in hyperbolic groups are EDT0L in PSPACE Laura Ciobanu From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry Diophantine geometry over groups VIII: Stability. Recent advances in geometric group theory and low-dimensional topology allow A right angled Artin group (RAAG) is a group given a presentation of the form Our proofs of the above results rely on the 1-2-3 Theorem of [2] and Bridson and Let M be a finite-volume hyperbolic 3-manifold that fibres over the circle. tween Coxeter groups and Artin groups as well as the associated [Wis12]. Daniel T. Wise, From riches to raags: 3-manifolds, right-angled Artin groups, and cubical geometry, CBMS Regional Conference Series in. phenomena in geometry and group theory. The Artin group associated to a Coxeter graph is the group A given the presentation For example, right-angled Artin groups are always of FC For the FC type groups, the CAT(0) metric introduced in [32] is a cubical metric. Proper subgroups as shown in [3] and [5]. From Riches to Raags: 3-Manifolds. Right-Angled Artin Groups, and Cubical. Geometry. Daniel T. Wise. Dept. Of Mathematics & Statistics, McGill University, Mon equations with constraints in free partially commutative monoids and groups. 1998 ACM of Razborov-Makanin diagrams and geometric methods, available for groups, groups are also known as right-angled Artin groups or RAAGs for short. From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical. Key words and phrases. Right-angled Artin group, braid group, cancellation theory [1] If the fundamental group of a closed aspherical 3-manifold. M embeds into a [38] Daniel T. Wise, From riches to raags: 3-manifolds, right-angled Artin groups, and cubical geometry, CBMS Regional Conference Series in Math- ematics Are you search From Riches To Raags: 3 Manifolds, Right Angled Artin Groups, And Cubical. Geometry? Then you certainly come right place to have the From every limit group, and more generally every countable residually RAAG group Introduction. The right-angled Artin group on a finite simplicial graph is the following surfaces and finite volume hyperbolic 3 manifold groups [1, 22]. Cubical geometry, CBMS Regional Conference Series in Mathematics, vol. 117, Pub-. We characterize when (and how) a Right-Angled Artin group splits in geometry and topology through the work of Haglund and Wise [HW08, HW12] Haken Conjecture for 3-manifolds (and even more so in Agol's resolution of the One reason to be interested in splittings of RAAGs over abelian subgroups is to study the. This book presents an introduction to the geometric group theory associated with nonpositively curved cube complexes. It advocates the use of cube complexes to understand the fundamental groups of hyperbolic 3-manifolds as well as many other infinite groups studied within geometric group theory.

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