Results 51 to 60 of about 5,391,081 (192)

The CAT(0) dimension of 3-generator Artin groups

, 2002
The three generator Artin groups A(m,n.2) are known to be have CAT(O) dimension strictly greater than two if both m and n are odd [BC]. In Chapter 1 we introduce the notions of CAT(O) dimension and three generator Artingroups.In Chapter 2 we show that if
Hanham, Paul Edward
core   +1 more source

Linearity of artin groups of finite type [PDF]

Israel Journal of Mathematics, 2002
Recent results on the linearity of braid groups are extended in two ways. We generalize the Lawrence Krammer representation as well as Krammer's faithfulness proof for this linear representation to Artin groups of finite type.
Cohen, Arjeh M., Wales, David B.
openaire   +5 more sources

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

A GATHERING PROCESS IN ARTIN BRAID GROUPS [PDF]

International Journal of Algebra and Computation, 2006
In this paper we construct a gathering process by the means of which we obtain new normal forms in braid groups. The new normal forms generalize Artin–Markoff normal forms and possess an extremely natural geometric description. In the two last sections of the paper we discuss the implementation of the introduced gathering process and the questions ...
Evgeinj S. Esyp, Ilya V. Kazachkov
openaire   +2 more sources

Manin's conjecture for integral points on toric varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
wiley   +1 more source

Endomorphisms of Artin groups of type B

Journal of Algebra
v2: Remark 2 added, minor changes according to the referee's suggestions. Accepted in the Journal of Algebra. 27 pages, 6 figures.
Paris, Luis, Soroko, Ignat
openaire   +3 more sources

The structure of Euclidean Artin groups [PDF]

, 2017
The Coxeter groups that act geometrically on euclidean space have long been classified and presentations for the irreducible ones are encoded in the well-known extended Dynkin diagrams. The corresponding Artin groups are called euclidean Artin groups and, despite what one might naively expect, most of them have remained fundamentally mysterious for ...
openaire   +2 more sources

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

On exotic matrix exponential sums and Bessel–Speh functions

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley   +1 more source

Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation [PDF]

Computer Science Journal of Moldova, 2011
A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin ...
V. Kantser
doaj